Solve the system.
4x + 3y = 10
9x - 4y= 1

Answers

Answer 1
it’s would be (1,2)

4x+3y=10 <— you solve for x and get x=5/2-3/4y

then substitute the value of x into 9x-4y=1 to get
9(5/2-3/4y)-4y=1

solve the equation for Y
y=2

now sub the value of y into x=5/2-3/4y
x=5/2 - 3/4 times 2

your answer would be x = 1

therefore you get (x,y) (1,2)
Answer 2

After solving the given equations, the value obtained for x and y will be equal to (1, 2).

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equations in the question,

4x + 3y = 10      (i)

9x - 4y = 1        (ii)

Multiply equation (i) by 9 and multiply equation (ii) by 4  

36x + 27y = 90

36x - 16y = 4

A similar term of x will cancel out from here.

y = 86/43

y = 2

Put y = 2 in equation (i)

4x + 3(2) = 10

4x = 4

x = 1

To know more about equation:

https://brainly.com/question/29657983

#SPJ2


Related Questions

Beyonce is solving a system of equations: 2x – 3y = -2
4x + y = 24

She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.

Step 3: 4x + y = 24

4(5) + y = 24

20 + y = 24
-20 -20

y = 4




Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
Solution: (5, 4)


+ 12x + 3y = 72
14x = 70

→ x = 5



Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.

Step 3: 4x + y = 24

4x + 4 = 24
-4 -4

4x = 20

x = 5


Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Solution: (5, 4)


Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28

→ y = 4



“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”

Explain how you know that a system of equations has no solution.

Answers

Answer:

Step-by-step explanation:

A system of equations has no solutions if you end up with a contradiction. For example, the system of two equations

y = 2x + 4

y = 2x

If you subtract the second equation from the first, you get

0 = 4

an obvious contradiction. If you were to graph the equations, you would see that the lines are parallel. They never intersect, so there is no point that satisfies both equations.

what is x? .........................

Answers

Answer:

The value of x is 7 cm.

Step-by-step explanation:

we can see that there are two triangles. smaller triangle and larger triangle.

Kaylin buys a greeting card for $3.79. She then buys 4 postcards that all cost the same amount. The total cost is $5.11. How much is each postcard?

Answers

Answer:

$0.33

Step-by-step explanation:

5.11-3.79=1.32 1.32/4

Hope this helps :)

Answer:

each postcard cost .33 or 33 cent

Step-by-step explanation:

5.11(total cost)-3.79(greeting card)= 1.32

1.32(cost of all postcards)/4= .33

anybody please help me

Answers

Answer:

E

Step-by-step explanation:

you would find the area of both squares, then add them together.

can someone solve this:
a = 21+(-4)

Answers

Answer:

17

Step-by-step explanation:

Answer:

a=17

Step-by-step explanation:

When an equation says +(-) like this one, all you have to do is subtract :)

Knowing that if you rewrite this you get a= 21-4, which is 17!

I hope this helps, and have a great day! <3 :D

Hi I need help with this one!!!!

Answers

Answer:

Daniel can afford 12 rides

Step-by-step explanation:

So we would take his 22 dollars and subtract 4 for admission leaving us at 18\

Then we would divide 18 by 1.50 and we would get 12

Choose all the fractions that are in simplest form. 4/26 8/21 6/19 9/10 10/22​

Answers

Answer:

8/12, 6/19 and 9/10!

Step-by-step explanation:

All of them cannot be simplified.

but the rest can like  

4/26 can be simplified by 2

and 10.22 can be simplified by 2

8/21 , 6/19 , 9/10 , and 10/22, so all of them except for the first one

please help me
Can the measure of an exterior angle of a triangle ever exceed 180°? Explain your reasoning.​

Answers

Answer:

Yes I believe so because the interiors of a triangle always add up to 180 degrees meaning the outside mustn't follow this same rule hop this helps!

Step-by-step explanation:

Answer:

Lets assume you have a triangle ABC with a straight horizontal line at the bottom say line segment CD. In order for the exterior angle to be greater than 180 it must be a exceed rad Pi which mean it is impossible for an exterior angle to exceed the 180 rule

Find the values of x and y

Can someone help?

Answers

Answer:

y=70

x=55

Step-by-step explanation:

In an equilateral triangle, all the angles measure 60 degrees. Knowing this, we can set the following equations:

[tex]60=y-10\\60=x+5[/tex]

[tex]60=y-10[/tex]

Add 10 to both sides

[tex]60+10=y-10+10\\70=y[/tex]

[tex]60=x+5[/tex]

Subtract both sides by 5

[tex]60-5=x+5-5\\55=x[/tex]

I hope this helps!

Answer:

x is 55° & y is 70°.

Step-by-step explanation:

This is an equilateral triangle.

In an equilateral triangle all sides are 60°

So,

1) x+5 = 60

x = 55°.

2) y-10 = 60

y = 70°.

Answer: x is 55° & y is 70°.

Can someone help figure this out for me??

Answers

[tex]\frac{324-7.9}{\sqrt{46-5.832}}[/tex]

= 49.87517031

Without using technology, describe the end behavior of f(x) = 3x32 + 8x2 − 22x + 43. (2 points)​

Answers

Answer:

This function is an even-degree polynomial, so the ends go off in the same directions, just like every quadratic I've ever graphed. Since the leading coefficient of this even-degree polynomial is positive, the ends came in and left out the top of the picture, just like every positive quadratic you've ever graphed. All even-degree polynomials behave, on their ends, like quadratics.

Step-by-step explanation:

Help this for my little brother lol

Answers

Answer:

a. 18

b. 17/36

d. 157.5615

e. 19.8

Step-by-step explanation:

Hope this helped!

Answer:

a. 18 b. 15/64 c. 122 2/9 d. 157.5615 e. 19.8

Step-by-step explanation:

a.

b. multiply across, so 1 * 15 = 15, 4*16=64, 15/64 can't be reduced, so done

c. 13 3/4 * 7 8/9, you must convert to improper fractions to multiply

4*13+3 = 55 so the first part is 55/4, 7*9+8=80 so the second is 80/9

55/4 * 80/9 = (55*80) / (4*9) = 4400 / 36, both are divisible by 4 so can be reduced to 1100/9 which cannot be reduced any further, 1100 + 9 = 122 R 2 so

1100/9 = 122 2/9

d. used calculator

e. 33% of 60 = (33//100)*(60/1) = (33*60) / (100*1) = 1980 / 100 = 19.8

please help

thank u!

Answers

B haha. Hope this works out for ya.

What is the base of the expression 11 and 12 square? 3 11 12 21

Answers

Answer:

your answer is 11

Step-by-step explanation:

An exponential has the base at the bottom

Which of these graphs represents a function?

Answers

Answer:

I believe it would be graph Z :)

Step-by-step explanation:

Answer:

it’s graph x

Step-by-step explanation:

vertical line test, put a vertical line through the graph, if it touches more than 1 point(2 or more) it’s not a functions

8x+6 factorise fully

Answers

Answer:

2(4x+3)

Step-by-step explanation:

We need to find what is the most common between 8x and 6. The only number here is 2 that is common between them.

That will be on the outside of the bracket.

So if we divide 2 from both terms.

8x ÷ 2 = 4x

6 ÷ 2 = 3

Let's put it all together.

2 first.

Our x term and 3 in brackets.

2 (4x+3)

There we go!

The angles shown are supplementary. (3x + 15)° 60° What is the value of x?​

Answers

Answer:

x = 35

Step-by-step explanation:

Supplementary angles add up to 180°.

if (3x + 15)° and 60° are supplementary, then

3x + 15 + 60 = 180

now, you just have to solve the equation.

3x + 75 = 180

3x = 105

x = 35

Check

3*35 + 15 + 60 = 180

105 + 15 + 60 = 180

180 = 180

what is the nth term of 5,11,17,23

Answers

Answer:

6n - 1.

Step-by-step explanation:

Arithmetic sequence.

a1 = 5, d = 6.

nth term = a1 + d(n - 1)

= 5 + 6(n - 1)

= 5 + 6n - 6

= 6n - 1.

HELP ASAP GIVING BRAINLIEST

Answers

Answer:

5: c, 3: a

Step-by-step explanation:

Which has a larger surface area a prism or a cylinder? Explain

Answers

Answer:

A prism is a solid figure that has two parallel congruent sides that are called bases that are connected by the lateral faces that are parallelograms. ... A cylinder is a tube and is composed of two parallel congruent circles and a rectangle which base is the circumference of the circle.

Step-by-step explanation:

Please give thanks to all my answers and please mark as brilliant and please follow me

help plzzzzzzzzzzz WILL MARK BRAINLIST

Answers

Answer:

7

Step-by-step explanation:

(-1^2)x 3 = 3

-1 x 4 = -4

3--4 = 7

The answer is 7. Plug in -1 for x and solve

LeBron bought a 8-pack of Powerade for $7.68. What is the unit rate for one bottle of Powerade?

Answers

About a dollar per bottle

26,062, 26,064, __
2,898, 322, 324, 36
What is the missing number in the pattern above?

Answers

26,066 it’s the missing number

X - 10= 7 x=_____ help

Answers

Im pretty sure it’s x = 17

Answer:

17

Step-by-step explanation:

please help me

Find the value of x, given that 4(3x+2)=44.​

Answers

Answer:

X=3

Step-by-step explanation:

=> 4(3x+2)=44

=> 12x+8=44 [Multiply the parentheses by 4]

=> 12x=44 - 8 [Transpose 8 of L.H.S to R.H.S]

=> 12x= 36

=> x= (3)

Hope this helps you.

The answer 3 the guy above me did explain it lol but I checked his math and x is 3

Please help me. Thank you​

Answers

Answer:

AE - 3, EB - 2, EC - 5

Step-by-step explanation:

Use the Pythagorean theorem and you'll find that these are the answers.

I'll answer problem 19

=======================================================

Part (a)

The tickmarks on segments DE and DC indicate they are the same length. We're also told that |DC| = |DE| = 5.

So DE is also 5 cm long. Triangle DAE is a right triangle with the 90 degree angle at angle A. Let x be the length of segment AE.

We'll use the pythagorean theorem to find x

a^2 + b^2 = c^2

(AE)^2 + (AD)^2 = (DE)^2

x^2 + 4^2 = 5^2

x^2 + 16 = 25

x^2 = 25-16

x^2 = 9

x = sqrt(9)

x = 3

Segment AE is 3 cm long

=======================================================

Part (b)

For any rectangle, the opposite sides are parallel and the same length. This means AB = DC = 5 cm.

We found earlier that AE = 3 cm, so,

AE+EB = AB

3+EB = 5

EB = 5-3

EB = 2

Segment EB is 2 cm long

=======================================================

Part (c)

We know that AD = BC = 4 cm, because the opposite sides are the same length.

Earlier in part (b), we found that segment EB was 2 cm long.

Triangle EBC is a right triangle with legs EB = 2 and BC = 4. Let's apply the pythagorean theorem to find EC. Let y = EC.

a^2 + b^2 = c^2

(EB)^2 + (BC)^2 = (EC)^2

2^2 + 4^2 = y^2

4 + 16 = y^2

20 = y^2

y^2 = 20

y = sqrt(20)

y = sqrt(4*5)

y = sqrt(4)*sqrt(5)

y = 2*sqrt(5)

y = 4.4721359

As an exact value, EC is sqrt(20) or 2*sqrt(5) cm long.

As an approximate value, EC is roughly 4.4721359 cm long.

I would ask your teacher if you should use the exact or approximate value.

Can someone please help me, i need to get this done before tommorrow!

Answers

Answer:

Ryan swam further by 5/6

Step-by-step explanation:

34 2/3 = 104

52 5/8 = 104 5/6

104 5/6 - 104 = 5/6

can someone help me?

Answers

its just asking where is the line segment!

So it looks like to me that from 4, 1 unless it might be the other way around 1,4 is the anwser its one of those to i get it mixed up alot lol

Answer:

No

Step-by-step explanation:

It appears the only way to talk to you is by answering your questions...so whatever.

Fan activity though? Really? Worst excuse ever. Ew.

This was the only question I didnt understand. An explanation would be nice.

Answers

Answer:

B

Step-by-step explanation:

ac =5x

cb=7x

(5x×5x)+ (5 +7)^2 = 7x^2

25x^2+144=49x^2

x=kök 6

ac =5kok 6

(5kok6)×12÷2= 30 kök 6

20. Mr. Reed bought tickets for 7 teachers
to attend a concert. He paid a total of
$245 for the tickets. If each ticket
cost the same amount, how much
did Mr. Reed pay for each ticket?
A $24.50
B $25.00
C $32.00
D $35.00

Answers

245/7 = $35.00, so the answer would be D
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