Question

Solve by any method (graphing, substitution or linear combination)

y = x - 8
2x + 3y = 1

a) (2, -6)

b) (5, -3)

c) (4, -4)

d) (0, -8)

I figured it out. The answer is (5, -3)

Answer 1

b) (5, -3)

Explanation:

The given equations are;

`y=x-8...(1)`

`2x+3y=1...(2)`

I prefer using substitution because of the first equation.

Put equation (1) into equation (2) to obtain;

`2x+3(x-8)=1`

We expand the parenthesis to obtain;

`2x+3x-24=1`

Group similar terms to get;

`2x+3x=1+24`

Simplify

`5x=25`

Divide through by 5;

`x=(25)/(5)`

`\Rightarrow x=5`

Put
`x=5` into equation (1) to get;

`y=5-8`

`\Rightarrow y=-3`

The solution is (5,-3).

The correct answer is B