Solve the system of linear equations by substitution.
x=2y+7
3x−2y=3
1 answer:
<u>The system of equation</u>
First equation
x = 2y + 7
Second equation
3x - 2y = 3
<u>Substitute x with (2y + 7) in the second equation</u>
3x - 2y = 3
3(2y + 7) - 2y = 3
use distributive property
3(2y) + 3(7) - 2y = 3
6y + 21 - 2y = 3
add like terms
6y - 2y + 21 = 3
4y = 3 - 21
4y = -18
y = -18/4
y = -4.5
<u>Substitute y with its value, which is -4.5, in the first equation</u>
x = 2y + 7
x = 2(-4.5) + 7
x = -9 + 7
x = -2
<u>The solution is</u>
<u />(x,y) = (-2, -4.5)
You might be interested in
Is this math cause I'm tryna figure it out
Answer:
about 7.2 I think
Step-by-step explanation:
if his pay went up all the way to 770 it would be going up either 7.8 or 7.2
First is 7 second is 8 third is 3
Answer:
The domain is the number of gallons and the range is the distance traveled.
Since the car can travel 30 miles one gallon of gas, we multiply by 12 to get the distance the car can travel in 12 gallons of gas.
The answer is <span>$129,624.32</span>
