Question

Solve the following system using the substitution method.you must show ALL work and use the substitution method.

4x+y=14
x-2y=8

Answer 1

y=-2

x=4

Explanation:

4x+y=14

x-2y=8 then x=8+2y

substitute for x in 4x+y=14

4(8+2y)+y=14

32+8y+y=14

reduce

32+9y=14

32+9y-32=14=32

9y=-18

9y/9=-18/9

y=-2

x=8+2(-2)=4