Question

what is the solution in this linear equation of this system 3x+y=-2 y=-x+4

Answer 1

[i] 3x +y = -2
[ii] y = -x +4
rearranging [ii] by adding x to both sides
x +y = 4
now solve the system by subtracting [i] from [ii]
3x +y -(x +y) = -2 -4
3x +y -x -y = -6
2x = -6
x = -3
solve for y in either [i] or [ii]
y = -x +4 = -(-3) +4 = 3 +4 = 7
the solution of the system is (x, y) = (-3, 7),

Answer 2

thank you for showing me the steps i thank that