Question

Use the Substitution Method to solve the following system of equations.
4x + y = 11
x + 2y = 8

(3, 2)

(2, 3)

(-2, -3)

(-2, 3)

Answer 1

ok a bit long but, you have to solve both equations more then once,

4x+y=11

becomes y = 11 -4x

x+2y=8

becomes x = 8-2y

now you substitute the values of x , y in the original equations,
4(x) +y = 11
4(8-2y) +y = 11
distribute the 4

32 - 8y +y = 11

subtract 32 from both sides for
-8y + y = -21
add -8y and y together for -7y

-7y = -21
multiply by -1 to make positive

and divide both sides by 7 for
y = 3

then do the same for x