9x+y=43

4x+2y=16 using the substitution method

Isolate y for substitution, and we have y=43-9x.

Substitute y in the next equation, and we have

4x+2 (43-9x) = 16, which leads to

4x+86-18x=16,

-14x=-70

x=5

Plug x into an equation, now that we have found the value.

9 (5) + y=43

45+y=43

y=-2

Now double check our answer:

9 (5) + (-2) = ?

45 + (-2) = 43

4 (5) + 2 (-2) = ?

20 + (-4) = 16

So, x=5 and y=-2.