Answer:
x = - 4, y = 2
Explanation:
First equation: 4x + 3y = - 10
Second equation: 4x+y= - 14
To solve simultaneously:
Rearrange one of the equations and substitute the equation to another equation, I prefer rearranging the second equation because it is easier.
Rearranging the second equation to get y, and then substitute back to the first equation to find x:
y = - 14 - 4x ------> new second equation
Substitute y (new second equation) into the first equation to find x:
4x +3(-14 -4x) = - 10
4x - 42 - 12 x = - 10
- 8x - 42 = -10
-8x = - 10 + 42
- 8x = 32
8x = - 32
x = - 4
Now we substitute x = - 4 to the second equation to find y:
4x + y = - 14
y = - 14 - 4(-4)
y = - 14 - (-16)
y = - 14 + 16
y = 2