MATH SOLVE

5 months ago

Q:
# Which ordered pair is the solution to the system of equations? {−3x+4y=−20{,y=x−4 A.(−4, −8) .B.(−2, −6) C.(4, 8) D.(0, −5)

Accepted Solution

A:

-3x + 4y = -20

y = x - 4

Put the second equation into the first equation in place of y.

-3x + 4 (x - 4) = -20

Multiply everything in the parenthesis by 4.

-3x + 4x - 16 = -20

Combine like terms.

x - 16 = -20

Add 16 to both sides.

x = -4

Put this into the second equation in place of x.

y = -4 - 4

y = -8

Your solution set is (-4,-8).

Hope this helps!

y = x - 4

Put the second equation into the first equation in place of y.

-3x + 4 (x - 4) = -20

Multiply everything in the parenthesis by 4.

-3x + 4x - 16 = -20

Combine like terms.

x - 16 = -20

Add 16 to both sides.

x = -4

Put this into the second equation in place of x.

y = -4 - 4

y = -8

Your solution set is (-4,-8).

Hope this helps!