Question

Solve using the substitution method 2x+3y=1 y=x-8

Answer 1

I will try to solve your system of equations.y=x−8;2x+3y=1Step: Solvey=x−8for y:Step: Substitute x−8 for y in 2x+3 y=1:2x+3y=12x+3(x−8)=15x−24=1   (Simplify both sides of the equation)5x−24+24=1+24 (Add 24 to both sides)5x=255x5=255 (Divide both sides by 5)x=5Step: Substitute 5 for x in y=x−8:y=x−8y=5−8y=−3(Simplify both sides of the equation)Answer:y=−3 and x=5

Answer 2

Subsitute

y=x-8
since y=x-8, subsitute x-8 for y

2x+3(x-8)=1
distribute (a(b+c)=ab+ac)
3(x-8)=3x-24

2x+3x-24=1
combine like terms
5x-24=1
add 24 to both sides
5x=25
divide 5
x=5
subsitute
y=x-8
y=5-8
y=-3

x=5
y=-3 is solution
in (x,y) forom
(5,-3) is the solution