Solve The Systems Of Equations, Y=6x-11, -2x-3y=-7

Solve the systems of equations
y=6x-11
-2x-3y=-7

 

Answer:

x = 2

y = 1

Explanation:

y = 6x - 11

-2x - 3y = -7

Use the substitution method

-2x - 3y = -7

-2x - 3(6x - 11) = -7

-2x - 18x + 33 = -7

-20x = -7 - 33

-20x = -40

x = 2

y = 6x - 11

y = 6(2) - 11

y = 12 - 11

y = 1

CHECKING:

y = 6x - 11

1 = 6(2) - 11

1 = 12 - 11

1= 1 TRUE

-2x - 3y = -7

-2(2) - 3(1) = -7

-4 - 3 = - 7

-7 = - 7 TRUE