What is the solution to the system of equations? y = x + 3 3x - 4y = -7

Answers

Answer 1

Answer:

x=-5 & y=-2

Step-by-step explanation:

Step 1: Solve y=x+3 for y:

y=x+3

Step 2: Substitute x+3 for y  in 3x-4y =-7:

3x-4y=-7

3x-4(x+3)=-7

-x-12=-7 (Simplify both sides of the equation)

-x-12+12=-7+12 (Add 12 to both sides)

-x=5

-x/1=-5/-1 (Divide both sides by -1)

Step 3: Substitute -5  for x in y=x+3:

y=x+3

y=-5+3

y=-2 (Simplify both sides of the equation)

x=-5 and y=-2


Related Questions

LAST QUESTION PLS HELP. (It's not solve for x)

Answers

Answer:

40

Step-by-step explanation:

So, if the angle shown, one of them is 70. the other is 110, because line is 180 degress, 180-70 = 110. C is 110. But, we need to find B. 13x + 6 must also be 70 degrees. 70-6 = 64. 64/13 = about 5. A is 100. The inner angles are 70+70+N. Angles in triangle are 180, so N is 180-70-70, which is 180-140. The B is 40 degrees.

Answer:

m∠ABC = 26°

Step-by-step explanation:

13x+6 + 8+3x + 70 = 180

16x + 84 = 180

16x = 96

x = 6

m∠B = 8+3(6) = 26°

plz help me with these questions tomorrow is my exam and i need to practice them

Answers

Answer:

good luck !!!!!!!

hope this help for you !!!!!

18% as a fraction in its simplest form

Answers

Answer:

9/50

Step-by-step explanation:

18% = 18/100

GCF of 18 and 100 = 2

(18 ÷ 2)/(100 ÷ 2)

9/(100 ÷ 2)

9/50

I need help with this

Answers

9514 1404 393

Answer:

pyramidprismprismpyramidprism

Step-by-step explanation:

A triangular prism will have exactly 2 triangular sides (bases).

A triangular pyramid will have at least 3 triangular faces.

Count the triangles and classify accordingly.

Left to right, the number of triangles is ...

  4, 2, 2, 4, 2

The figures with 4 triangles are pyramids; the others are triangular prisms.

HELPPP

A. 9
B. 20
C. 16
D. 4

Answers

Answer:

C 16

Step-by-step explanation:

Using ratios

3:12

12/3=4

4:x

4*4=16

x=16

4:16

hope this helps:)

John drove his car due east for 8 miles. He then turned south and drove 15 miles. How far was he from where he started?

Answers

Answer:

John was 17 miles away from where he started.

Step-by-step explanation:

The easiest approach to this problem is to draw it out (check the attached image). Going East and turning South is the same as drawing a line towards the right, and then down on the paper.

Using the Pythagorean Theorem, we know that the sum of the square of the legs (2 smallest sides of a right triangle) is equal to the square of the hypotenuse of that triangle. In other words, [tex]a^2 + b^2 = c^2[/tex].

So to solve this, work backwards:

[tex]8^{2}+15^{2} =c^{2}\\64 + 225 = c^{2}\\289 = c^{2}\\c = \sqrt{289}\\ c = 17[/tex]

The distance between the initial and final point will be 17 miles.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

This can be expressed as

H² = P² + B²

John drove his car due east for 8 miles.

He then turned south and drove 15 miles.

Then the distance between the initial and final point will be

H² = 8² + 15²

H² = 64 + 225

H² = 289

H = 17 miles

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

Determine the amounts horizontally and vertically that the given point was translated.


1. A translated to B
2. A translated to C
3. D translated to B
4. C translated to D
5. B translated to C

Answers

Answer:

OPTION B I THINK SOOOO

PLS MAKA ME BRAINIST PLS

Step-by-step explanation:

HOPE YOU HELP

Answer:

1. x = 1

   y = -7

2. x = 9

   y = -5

3. x = -6

  y = -5

4. x = -2

  y = 3

5. x = 8

   y = 2

Step-by-step explanation:

Count until you get from the first point to the next.

A roller coaster is at the top of a 72 m hill and weighs 134 kg. The coaster (at this moment) has____________ energy. Calculate it.
A. Kinetic Energy and 347,328J
B. Kinetic Energy and 9,648J
C. Potential Energy and 9,648J
D. Potential Energy and 94,550.4J

Answers

Answer:C

Step-by-step explenation: m=134kg,h=72m,g=10m/s

PE=mgh

PE=(134kg)(10m/s^2)(72m)

PE=964800J

After 32 years from now a boy will be 5 times as old as he was 8 years back.How old is the boy now?

Answers

Answer:

18 years

Step-by-step explanation:

Transforming the question in form of equation:

Let x be the current age.

x + 32 = 5(x-8)

x + 32 = 5x - 40

5x - x = 40 + 32

4x = 72

x = 18

Answer: look at this! He’s 18

Step-by-step explanation:

equation = x+32=5(x-8)

X+32=5x-40

5x-x=32+40

4x=72

X=72/4

=18

Can someone help me with this?

Answers

Answer:

I think it's y= +10

not sure tho :))

Helpp pleaseeeee and could u put an explanation of how you did it?

Answers

Answer: Option A

Step-by-step explanation:

To get from A to A', what is done?

A is at the point (2,6) and A' is at the point (2,-1)

The x value of the two points stayed constant (didn't change) meaning that options C and D are invalid (because those two are transformations to the x-value)

Now let us take a look at options A and B which both concern the y value

The y-value of A is 6 and A' is -1

To get from 6 to -1, do you

a) subtract 7

or b) = multiply by -1

Let us test it out:

a) 6 - 7 = -1 (yes, it equals -1)

b) 6 * -1 = -6 (no, it does not equal the intended value of -1)

Thus correct choice is A, we subtract 7

the area of a triangle is 12 cm squared. If the base of the triangle is 4 cm what is the height​

Answers

Answer:

6 cm

Step-by-step explanation:

4) Madison's mom wrote the names of every day of the week on separate pieces of paper. Then she put the papers
in a hat. Madison would have to clean her room on the day that she blindly picked from the hat. What is the
probability that Madison will clean her room on a day that starts with the letter T'?
Talib

Answers

Answer:

2/7

Step-by-step explanation:

There are 7 days in a week, and 2 days start with the letter T.

can anyone please help and tell me what the answer to this question is?

Answers

Answer: what question?

What is the question?

12 Units to the right of zero on a number line​

Answers

Answer:

12

Step-by-step explanation:

0 + 12 = 12

Answer:

12

Step-by-step explanation:

the 2 numbers 12 units away from 0 are 12 and -12

since it's to the right of 0, it's positive

Which expression is equivalent to 2 (a + 2 b) minus a minus 2 b? 3 a + 2 b 3 a minus 2 b a minus 2 b a + 2 b

Answers

Answer:

a + 2b

Step-by-step explanation:

Given the expression

2(a+2b) - a-2b

Open the bracket

2a+(2)2b- a-2b

2a+4b - a-2b

Collect the like terms

2a-a+4b-2b

a + 2b

Hence the equivalent expression is a + 2b

Answer:

d

Step-by-step explanation:

What is the length of arc S shown below?
Enter an exact expression.
SA
21
MY
S
4
2 cm
Pro
PO
The angle in the figure is a central angle in radians.

Answers

Answer: pi/2

Step-by-step explanation:

Can someone help me ASAP

Answers

You have to circle 4 equations to answer like group -2 3 and -1 and 6

24xy-xy^3+x^2 find the degree plz

Answers

Answer:

4

Step-by-step explanation:

24xy---> 2

-xy3--->4

x2--->2

what are the x-intercepts of the parabola? y=-3(x+5)(x-9)

Answers

Answer:

-5 and 9

Step-by-step explanation:

Graph the equation on a graph.

You can also simplify the equation into y=mx+b form and then graph:

y=-3(x+5)(x-9)

y=(-3x-15)(x-9)

y=-3x^2+27x-15x+135

y=-3x^2+12x+135

Hillside middle school chorus is giving a concert in the cafeteria

Answers

very cool mate ,,,uwu s

Please help! would really appreciate it.

Answers

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

Base² + altitude² = hypotenuse²

15² +  altitude²  = 17²

225 +  altitude²  = 289

             altitude² = 289 - 225

             altitude² = 64

              altitude² = 8²

             altitude   = √8²

 altitude  = 8

P = 8 + 15 + 17 =  40 units

[tex]A= \frac{1}{2}*base * height\\\\ = \frac{1}{2}* 15 * 8\\\\= 15 * 4\\\\= 60 sq. units[/tex]

Dave buys a goat and sheep for a total price of £120 as is surprised to find that the goat was twice the price of the sheep..

He made twice as much profit on the sheep as he did on the goat having sold both for a combined price of £180.

What is the percentage profit on the sheep?

Answers

Answer:

Let's define:

G = cost of a goat

S = cost of a sheep.

We know that the total cost for a goat and a sheep is £120, then:

S + G = £120

And the cost of the goat is twice the price of the sheep, then:

G = 2*S

To solve this system, we can just replace the second equation into the first one, then we get:

S + (2*S) =  £120

3*S =  £120

S =  £120/3 =  £40

This means that each sheep costs  £40

And the cost of a goat is:

G = 2* £40 =  £80.

Now we know that he sold both of them, where:

s = price of the sheep

g = price of the goat.

We know that he sold both of them for £180, then:

s + g = £180

And the profit of the sheep is twice the profit of the goat, then:

(s - S) = 2*(g - G)

(s -  £40) = 2*(g -  £80)

s  -  £40 = 2*g -  £160

Then we have a system of equations:

s + g = £180

s  -  £40 = 2*g -  £160

To solve this, we first could isolate g in the first equation:

g = £180 - s

Replacing this in the other equation we get:

s - £40 = 2*( £180 - s) -  £160

s - £40 = £360 - 2*s - £160

s - £40 = £200 - 2*s

s + 2*s = £200 - £40 = £160

3*s = £160

s = £160/3 = £53.33

Then the percentage profit for the sheep is:

percentage profit = (s/S)*100% = (£53.33/£40)*100% = 133.3%

Then the percentae profit is 33.3%, which means that the sheep was sold at 133.3% of its original cost, leaving a profit of 33.3% of its original cost.

I need help who ever get it right get brainly

Answers

Answer:

m<a = m<c since those two angles are vertical angles.

m<a + m<b = 90⁰ since, if you look closely m<a and m<b forms a 90⁰ angle that means it is equal to 90⁰.

Hope this helps and I would appreciate if you give me the brainlist or not thank you :) !!

Point B has coordinates ​(4​,1​). The​ x-coordinate of point A is -8. The distance between point A and point B is 13 units. What are the possible coordinates of point​ A?

Answers

Answer:

1.3

Step-by-step explanation:

B: (4,1)

A: (-8, 1.3)

pythagorean theorem:

a leg: .3

b leg: 13

c: 13

what is the slope between (5,0) and (6,0)

Answers

Answer:

m=0

Step-by-step explanation:



please help me this is all my grade!!!!

Answers

We need to know the options

Which expression fits this description? • The expression is the quotient of two quantities. • The numerator of the expression is the product of 5 and the sum of x and y. • The denominator is the product of negative 8 and x.

Answers

Answer:

[tex]\frac{5(x+y)}{-8x}[/tex]

Step-by-step explanation:

It is a fraction that usually has a numerator and denominator

the numerator is the number on top while the denominator is the number below

[tex]\frac{a}{b}[/tex]

In the above fraction, a is the numerator while b is the denominator

Numerator =5 × ( x + y)

Denominator = -8x ( negative means there is a negative sign before 8)

( product means multiplication)

[tex]\frac{5(x+y)}{-8x}[/tex]

What is the value of x in the circle on the right?​

Answers

X=sqrt of 29

Use Pythagorean Theorem!

a^2+b^2=c^2

C is the hypotenuse, so the biggest side, for us it’s 10.

9^2+x^2=10^2

81+x^2= 100

x^2= 29

X= sqrt29

Since x is the radius on both sides, the value will be the same :)

please help me i suck at math

Answers

37000 + 37000\(0.09)

is the answer.

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