Solve the system of equations using substitution. 3x + 2y = 7 y = - 3x + 11 (6, - 3) (5, - 4) (6, - 7)

(5, - 4)

Step-by-step explanation:

3x + 2y = 7

y = - 3x + 11

The second equation is already solved for y, so since y = - 3x + 11, we substitute y in the first equation with - 3x + 11.

First equation

3x + 2y = 7

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

3x - 6x + 22 = 7

-3x + 22 = 7

-3x = - 15

x = 5

Now we use the second original equation and substitute 5 for x. Then we solve for y.

y = - 3x + 11

y = - 3 (5) + 11

y = - 15 + 11

y = - 4

Solution: (5, - 4)