We are asked to solve the following system of equations using the elimination method:
x + 2 y = 16
-7 x- 3 y = 24
so we select to multiply the first equation by "7", that way we will be able to eliminate the term in "x" by simple combining term by term the two equations:
7 (x + 2 y) = 7*16
7 x + 14 y = 112
now we combine this new expression term by term with the second equation:
7 x + 14 y = 112
-7 x - 3 y = 24
_____________
0 + 11 y = 136
solve for y by dividing both sides by 11:
y = 136/11
Now we use this value to solve for x in the first equation:
x + 2 (136/11) = 16
x +