The solution to the system of equations is (-4.25, -0.5)
Here, we want to solve the system of equations.
8x + 16y = -42 ...........................(i)
-2x + 3y = 7 .............................(ii)
We can rewrite the equations as follows;
from (ii)
2x = 3y - 7 .........................(iii)
And also from (i)
4(2x) + 16y = -42 ...........................(iv)
We can insert (iii) into (iv)
4(3y-7) + 16y = -42
12y - 28 + 16y = -42
12y + 16y = -42 + 28
28y = -14
y = -14/28
y = -1/2 or -0.5
From iii
2x = 3y - 7
insert the vale of y here
2x = 3(-0.5) - 7
2x = -1.5-7
2x = -8.5
x = -8.5/2
x = -4.25