2x + 4y = 16
3x - 2y = 8
Solve using substitution method
100 POINTS PLS ANSWER

Answers

Answer 1

Answer:

(4,2) or x=4, y=2

Step-by-step explanation:

As your question asks, we'll solve the system of equations by substitution, where we'll solve for the value of one variable and than substitute that value into the other equation and solve for the two variables

we're given the system:

2x+4y=16

3x-2y=8

Let's take the first equation:

you can isolate either x or y, but I'll do x for this problem

2x+4y=16

subtract 4y from both sides

2x=-4y+16

divide both sides by 2

x=-2y+8

now take the second equation (3x-2y=8) and substitute -2y+8 as x

3(-2y+8)-2y=8

do the distributive property

-6y+24-2y=8

combine like terms

-8y+24=8

subtract 24 from both sides

-8y=-16

divide by -8

y=2

we found the value of y. However, we also need to find the value of x

above, we said that x=-2y+8; since we found the value of y, we can substitute that value into the equation and find x

so:

x=-2(2)+8

x=-4+8

x=4

the answer is x=4, y=2. If you need it as a coordinate point, it's (4,2)

Hope this helps!


Related Questions

i need to find the square root of √16

Answers

the square root of 16 is 4

Answer:

4

Step-by-step explanation:

I don't know how to explain this other than use a calculator.

Hope that this helps!

WHOEVER ANSWERS FIRST GETS BRAINLIEST


A mechanic had 4 1/2 gallons of motor oil at the start of the day. At the end of the day, only 5 pints remained.

How many pints of motor oil did the mechanic use during the day?


4 pt

13 pt

19 pt

31 pt

Answers

Answer:

19

Step-by-step explanation:

i took the quiz

What is the solution of the quadratic equation.
Equation: 2x + 7x - 5= 10

Answers

Step-by-step explanation:

2x+7x-5=10

2x+7x= 10+5= 15

2x ×9=15

2x =15-9=5

x=5/2=2.5

hope it helped

What is the coordinate points of (1/2,√3/2) when reflected to quadrant 3?

Answers

Answer:

(-√3/2., -1/2)

Step-by-step explanation:

This is a reflection in the line y = -x.

So x =  1/2 becomes y = -1/2

and y = √3/2  becomes x = -√3/2.

In circle Q with m PQR = 82 and PQ = 5 units, find the length of arc PR.
Round to the nearest hundredth.

Answers

The length of arc PR to the nearest hundredth is 7.15 units

How to calculate the length of an arc

The formula for calculating the length of an arc is expressed as:

L = r theta

Given the following parameters

r = PQ = 5 units

theta = <PQR = 82π/180 rad

Substitute to have:

L = 5 * 82π/180 rad

L = 7.15 units

Hence the length of arc PR to the nearest hundredth is 7.15 units

Learn more on length of an arc here; https://brainly.com/question/2005046

Answer: The answer is 7.16.

What can you tell about the mean of each distribution?

Answers

Answer:

I'm sorry I don't know ‍♀️

Answer:

b

Step-by-step explanation:

What is the area underneath a normal curve always equal to?
A. zero
B. sixty-eight
C. one
D. ninety-five

Answers

The correct answer is C. One
The total area under a normal curve is equal to 1! Hope this helps!

Find the measure of arc BC

Answers

Answer:

100°

Step-by-step explanation:

is 25% of the circle

Answer:

BC = 100°

Step-by-step explanation:

The chord- chord angle BDC is half the sum of the arcs intercepted by the angle and its vertical angle, that is

[tex]\frac{1}{2}[/tex] ( BC + AE) = 85° ( multiply both sides by 2 to clear the fraction )

BC + AE = 170°

BC + 70° = 170° ( subtract 70° from both sides )

BC = 100°

I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
please help this is very important
this is a big part of my grade

Answers

Answer:

I agree with Noah's Method because following PEMDAS you have to do exponents first. 10^3 is 1000 and then you can add the 20. Jada's method is incorrect because you cannot add the two together.

P
289
670
R
Find the measure of P.
390
80°
ООО
85°
90°

Answers

Answer:

C, 85°

Step-by-step explanation:

180° = total angles for a triangle

First, add the known angles.

67 + 28 = 95

Then, subtract

180 - 95 = 85

To check your answer, add all the angles up to see if it equals 180°

67 + 28 + 85 = 180

Have a great day!

A boat is spotted in the water with an angle of depression of 25degrees from the top of a lighthouse that is 89 feet tall. How far away , to the nearest foot, is the boat from the lighthouse ?

Answers

Answer:

191 Feet.

Step-by-step explanation:

Answer: Your answer should be 191!

673,000 in numeric help!!

Answers

Answer:

huh? explain better

Step-by-step explanation:

PLS HELP WILL MAKE MOST BRAINILIST
y = x - 8
y= 1

Answers

Answer:

X = 7

Step-by-step explanation:

if y is one and and x is getting subtracted by 8 what’s 8 minus 1


On the map, the south side of the park has a length of 20 centimeters. What is the actual distance, in kilometers of the south side of the south of the park

Answers

Answer: 25 kilometers for part A. 12 for part B.

Step-by-step explanation: Teacher told the answer.

PLEASE ANSWER CORRECTLY, I WILL GIVE BRAINLIEST <3 THANKS IN ADVANCE!

Answers

Answer:

1 : 15

2: 12

3: 52

4: 27.3

Step-by-step explanation:

For #1:

if line m and n are perpendicular then they will create right angles

Right angles have a measure of 90 degrees

That being said we can find the measure of the missing angle by subtracting the measure of the known angle (75) from 90

so k = 90 - 75

90 - 75 = 15

Hence k = 15.

For #3 ( very similar to #1, only difference is the values of the angles )

so R = 90 - 38

90 - 38 = 52

Hence, R = 52

For #2 and #4

Complementary angles have a sum of 90°

So like the previous questions we can find the measure of the missing angle by subtract the measure of the given angle from 90

∠V = 90 - 78

90 - 78 = 12

Hence ∠V = 12

∠Y = 90 - 62.7

90 - 62.7 = 27.3

Hence ∠Y = 27.3

pls help!!!!!!!!!!!!!!!

Answers

Answer: The radius would be twelve

Step-by-step explanation:

The radius of a sphere would be 12 cm. By putting the value of volume we can find the radius of the sphere. The radius of a sphere would be 12 cm.

Xpand the binomial (4x + 3y)3. The coefficient of the second term in the expansion of the binomial (4x + 3y)3 is .

Answers

Answer: 144

Step-by-step explanation:

The binomial is  [tex]\left( 4x+3y\right)^3[/tex]

The expansion of [tex]\Rightarrow \left ( a+b \right )^n=^nC_0\left ( a \right )^n\left ( b \right )^0+^nC_1\left ( a \right )^{n-1}\left ( b \right )^1+^nC_2\left ( a \right )^{n-2}\left ( b \right )^2+^nC_3\left ( a \right )^{n-3}\left ( b \right )^3+\ldots[/tex]

Expansion of [tex]\left( 4x+3y\right)^3[/tex]

[tex]\Rightarrow ^3C_0\left ( 4x\right )^{3}\left ( 3y\right )^0+^3C_1\left ( 4x\right )^{2}\left ( 3y\right )^1+^3C_2\left ( 4x\right )^{1}\left ( 3y\right )^2+^3C_3\left ( 4x\right )^{0}\left ( 3y\right )^3[/tex]

So, the second term is

[tex]\Rightarrow ^3C_1\left ( 4x\right )^{3-1}\left ( 3y\right )^1\\\Rightarrow ^3C_1\left ( 4x\right )^{2}\left ( 3y\right )^1[/tex]

Its Coefficient is

[tex]\Rightarrow ^3C_1\times 4^2\times 3\\\Rightarrow 3\times 16\times 3=144[/tex]

Solve for x.

A) 13
B) 26
C) 11

Answers

Answer:

13

Step-by-step explanation:

Once again we are looking at inscribed angles and intercepted arcs. Like stated previously an inscribed angle is equal to half its intercepted arc

That being said we want to create an equation to solve for x

The equation would be 7x + 5 = 192/2

We now solve for x

step 1 simplify

192/2=96

now we have 7x + 5 = 96

step 2 subtract 5 from each side

5 - 5 cancels out

96 - 5 = 91

7x = 91

step 3 divide each side by 7

7x/7 = x

91 / 7 = 13

we're left with x = 13

Hari bought 5 apples at Re 1 and sold 4 apples at Re 1. Find the profit or loss in percentage.​

Answers

Step-by-step explanation:

C.P=5×1=Rs.5

S.P.=4×1=Rs.4

Loss=C.P.=S.P.

=Rs.5-Rs.4

=Re.1

loss%=loss/C.P ×100

=1/5×100%

=20%

What is the median for the numbers 1,2,3,4,5,6,7,8,9,10??


Thanks

Answers

Answer:

5.5

hope this helps

have a good day :)

Step-by-step explanation:

please help me if u can i need a good grade on this please and thank you have a good day.

Answers

Answer:

[tex]yes (k) = \frac{1}{9}[/tex]

a substance decays at a rate of 0.98% each year. if here is 3500 mg at the beginning, how much is remaining after 25 years?

Answers

Answer:

2642.5

Step-by-step explanation:

I'm like 10% sure that's the right answer so I wouldn't put it down on the work if I were you

Answer:

≈2736 mg

Step-by-step explanation:

0.98% = .0098

p = 3500(1 -0.0098)^25

p = 3500(0.9902)^25

p ≈ 2736

A rational number equivalent to 5/7 is​

Answers

5/7 is 5÷7

so

5÷7 = 0.7142857143

Let’s talk about the meaning Fractions: when you have a fraction it means to divide. So, When you have 5/7 you divide 5 and 7 because Fractions mean division.

5/7 = 0.71428571428 (Decimal NOT rounded)

Solve for x (geometry)

Answers

i got 3.75. not sure if it’s right but hope i helped
Yea I also got 3.75 I’m not positive but hope it helps

Of the clients who had their hair cut at Tanner's salon last month, 4 clients had black hair and
12 clients had hair in other colors. Considering this data, how many of the next 12 clients to
get haircuts should you expect to have black hair?

Answers

Answer: 3

Step-by-step explanation:

The number of getting the black hair color clients will be 4.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of samples

Given the of the clients who had their hair cut at Tanner's salon last month, 4 clients had black hair and 12 clients had hair in other colors.

The probability is:-

P = 4 / 12

The number of clients having black color hair is calculated as:-

Number = ( 4 / 12 ) x 12

Number =  4

Therefore, there will be 4 people getting black hair colors.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ6

HELPLPALPLAPLPL PLEASE BRAINLIEST

Answers

Answer:

2/3

Step-by-step explanation:

[tex]p( \frac{2}{6} + \frac{2}{6} ) \\ p = \frac{4}{6} \\ = \frac{2}{3} [/tex]

when does order matter when writing algebraic expression

Answers

Think of PEMDAS. Solve in this order. Parentheses, Exponent, Multiply, Divide, Add, Subtract. Solving in this order will get you to the right answer. If you try to just solve from left to right, you may get it wrong if it is not solved in that order.

I REALLY NEED HELP WITH THIS QUESTION FOR MY MATH CLASS!!!!!!

Answers

Answer:

the answer is d

Step-by-step explanation:

brainliest pls

Answer:

It's B or D, but I think D.

Step-by-step explanation:

I’ll mark brainliest for anyone who answers.

Answers

Answer:

Step-by-step explanation:

You have the right answer

Answer: Choice C) $31,045.50

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

Work Shown:

p = number of items sold

855 = cost per item

855p = total revenue = total amount of money earned

6780 = total expenses

profit = revenue - expenses = 855p - 6780

profit = 855p - 6780

------------------

Now plug in p = 250

profit = 855p - 6780

profit = 855*250 - 6780

profit = 213,750 - 6,780

profit = 206,970 dollars

This is the profit the company makes in one month if p = 250 items are sold.

The CEO earns 15% of this profit, so,

15% of 206,970 = 0.15*(206,970) = 31,045.50

The CEO earns $31,045.50

A pound of guinea-pig pellets is about 3 cups of food. Each guinea pig eats 1/4 cup of pellets a day. How many days will pellets last? Also there is 5 pounds of pellets

Answers

how many guinea pigs are there and how many day?
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