Question

2x+4y=12 x+y=2 What is the substitution method for this system of equations

Answer 1

x = -2, y = 4

Explanation:

Minus y from both sides of x+y=2

x=−y+2

substitute x in 2(−y+2)+4y=12

2y+4+−4=12+−4

2y=8

divide 2 from both sides

y = 4

substitute y in x+-4+2

x = -4 + 2

x = -2

Answer 2

The solution is x = -2, y = 4.

Explanation:

2x + 4y = 12

x + y = 2

From the second equation: y = 2 - x.

Now substitute for y in the first equation:

2x + 4(2 - x) = 12

2x + 8 - 4x = 12

-2x = 4

x = -2.

Now find y by substituting x = -2 in the second equation:

- 2 + y = 2

y = 4.