One of the ways to solve a system of equation is by using the substitution method
The values of x and y are -9 and 5
How to use the substitution method
The equations are given as:
2x + 6y = 12
x + y = -4
Make x the subject in the second equation
x = -4 - y
Substitute x = -4 - y in the first equation
2(-4 - y) + 6y = 12
Expand
-8 - 2y + 6y = 12
Add 8 to both sides
- 2y + 6y = 20
So, we have:
4y =20
Divide through by 4
y = 5
Recall that:
x = -4 - y
So, we have:
x = -4 - 5
x = -9
Hence, the values of x and y are -9 and 5
Read more about the substitution method at:
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