Question

Which system of equations is equivalent to this system? 4(x+y)=2x+12 4x+y=x+8

A)6x  + 4y = 12
3x + y = 8
B)−4x  + 4y = 48
3x + y = 8
C)4x  + 4y = 48
3x + y = 8
D)2x  + 4y = 12
3x + y = 8

Answer 1

D)2x + 4y = 12

3x + y = 8

Explanation:

4(x+y)=2x+12

4x+y=x+8

1 st equation

4(x+y)=2x+12

Distribute

4x+4y = 2x+12

Subtract 2x from each side

4x-2x +4y =2x-2x+12

2x +4y =12

2nd equation

4x+y=x+8

Subtraction x from each side

4x+y -x = x-x+8

3x+y = 8