Question

Solve for x and y
Y = 3x - 24 5x - y = 8
please show your work

Answer 1

x = - 8

y = - 48

Explanation:

Here, y = 3x - 24 and 5x - y = 8 is given

So, First name the equation

y = 3x - 24 ...(1)

5x - y = 8 ...(2)

Now, Put the value of y in equation (2) we get

5x - y = 8

5x - (3x - 24) = 8

5x - 3x + 24 = 8

2x = 8 - 24

2x = -16

x = -16÷2

x = - 8

Here, we get the value of x in equation (1)

y = 3x - 24

y = 3(- 8) - 24

y = - 24 - 24

y = - 48

FOR VERIFICATION ONLY:

y = 3x - 24

-48 = 3(-8) - 24

-48 = -48

5x - y = 8

5(-8) -(- 48) = 8

-40 + 48 = 8

8 = 8

Hence, L.H.S = R.H.S

-TheUnknownScientist

Answer 2

x=-8,y=-48

Explanation:

`y=3x-24\\5x-y=8\\Hence,\\y=3x-24\\-y=-5x+8\\By\ adding\ the\ system\ of\ equations\ we\ get,\ \\y+-y=3x-24+(-5x+8)\\0=3x-24-5x+8\\5x-3x=-24+8\\2x=-16\\x=-8\\So,\\Substituting\ x=-8\ in\ the\ first\ equation\ we\ get,\ \\y=3*-8-24\\y=-24-24\\y=-48`