Question

Solve using substitution:
y - 1/2x = 6
2x + 6y = 19

Answer 1

For the first equation, add 1/2x to both sides: \[y=6+1/2x\]
Substitute in the second equation for y: \[2x+6(6+1/2x)=19\]
Distribute: \[2x+36+3x=19\]
Add like terms: \[5x+36=19\]
Subtract 36 from both sides: \[5x=-17\]
Divide both sides by 5: \[x=-3.4\]