Y = 5x+32, y=-4x-22 how to solve the system of equations

x = - 6; y = 2 is the solution of the given system of equations.

Step-by-step explanation:

The given equations are:

y = 5x + 32 ... (1)

y = - 4x - 22 ... (2)

Substituting the value of 'y' from equation (1) in equation (2), we get

5x + 32 = - 4x - 22

⇒5x + 4x = - 22 - 32

⇒9x = - 54

⇒x = (-54) : 9

⇒x = - 6

Put x = - 6 in equation (1), we get

y = 5 * (-6) + 32 = - 30 + 32 = 2

So, x = - 6; y = 2 is the solution of the given system of equations.