Question

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

Answer 1

Explanation:

y = 5x + 32

y = -4x - 22

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

y = -4x - 22

5x + 32 = -4x - 22....add 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 = 2......or (-6,2)

Answer 2

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

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.