Solve the system of equations.

y = 5x + 32

y = - 4x - 22

a. (6,2)

b. (-6, - 2)

C (-6, 2)

d. No solution

C (-6, 2)

Step-by-step explanation:

in order to solve this system of equation, we would say that let

y = 5x + 32 ... equation 1

y = - 4x - 22 ... equation2

substitute equation 1 into equation 2

we have,

5x + 32 = - 4x - 22

combine the like terms

5x + 4x + 32 = - 22

9x = - 22-32

9x = - 54

divide both sides by the coefficient of x which is 9

9x/9 = - 54/9

x = - 6

put x = -6 into equation 1

y = 5x + 32 ... equation 1

y = 5 (-6) + 32

y = - 30 + 32

y = 2

therefore the value of x and y is - 6 and 2 respectively