(PLEASE HELP)Solve the given system using your choice of either graphically or algebraically. Show and explain all work.
y = 2x - 4
x + 2y = 12

Respuesta :

x+2(2x-4)=12. (substitute)
x+4x-8=12. (distributive prop)
5x-8=12 (combine like terms)
5x=20 (add 8 to both sides of equation)
x=4 (dividing)

Answer:

algebraically.

y = 2x - 4........….....(1)

x + 2y = 12..............(2)

substituting the value of y in equation (2) we get

x+2(2x - 4)=12

x+4x-8=12

5x=12+8

x=20/5=4

substituting the value of x in equation(1) we get

y=2×4-4=8-4=4

:.(x,y)=(4,4)answer