Solve the system of equations using substitution.

3x + 2y = 7

y = - 3x + 11

3x + 2y = 7

y = - 3x + 11

Solve the system of equation using substitution.

Substitute the y in the first equation by its value presented in the 2nd equation.

3x + 2y = 7

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

3x - 6x + 22 = 7

-3x + 22 = 7

-3x = 7 - 22

-3x = - 15

-3x/-3 = - 15/-3

x = 5

Substitute x in the 2nd equation by its computed value. x = 5

y = - 3x + 11

y = - 3 (5) + 11

y = - 15 + 11

y = - 4

x = 5; y = - 4

Substitute x and y in the 1st equation with its corresponding values

3x + 2y = 7

3 (5) + 2 (-4) = 7

15 - 8 = 7

7 = 7