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

Step-by-step explanation:

y = 5x + 32

y = -4x - 22

u can solve this by substitutionu can start with either equationi will start with the first oney = 5x + 32so sub in 5x + 32 in for y, back into the second equation.

y = -4x - 22

5x + 32 = -4x - 22add 4x to both sides

5x + 4x + 32 = -22 subtract 32 from both sides

5x + 4x = -22 - 32 combine like terms

9x = - 54 divide by 9

x = -54/9

x = -6

now we sub -6 in for x in either of the original equations to find y

y = 5x + 32

y = 5(-6) + 32

y = -30 + 32

y = 2

lets check it..  (-6,2)

y = 5x + 32                                y = - 4x - 22

2 = 5(-6) + 32                            2 =  -4(-6) - 22                  

2 = -30 + 32                               2 = 24 - 22

2 = 2 (correct)                            2 = 2 (correct)

yep, ur solution is : x = -6 and y = 2or (-6,2)