Question

Solve by substitution. Clearly identify your solution. y=-2x+2,y=7x+11​

Answer 1

To solve the system of equations y=-2x+2, y=7x+11 by substitution, substitute the value of y from the first equation into the second equation. The solution is x=-1 and y=4.

Step-by-step explanation:

To solve the system of equations y = -2x + 2 and y = 7x + 11 by substitution, we will substitute the value of y from the first equation into the second equation.

Substitute -2x + 2 for y in the second equation:

7x + 11 = -2x + 2

Combine like terms:

9x = -9

Divide both sides by 9:

x = -1

Substitute x = -1 back into the first equation to find y:

y = -2(-1) + 2

y = 4

The solution to the system of equations is x = -1 and y = 4.

Answer 2

Substitution, which can also be taken as the equal values method. You just put in the first equation for y, as it’s the same thing.
2x+2=7x+11
-2 from both sides
2x=7x+10
-7x from both sides
-5x=10
divide both sides by -5
x=-2

Then you substitute -2 for x into one of the equations.
y=7(-2)+11
y=-14+11
y=-3

Your solution is (-2,-3).