Question

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

Answer 1

Answer:

b) (5, -3)

Step-by-step 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;

$x=\frac{25}{5}$

$\Rightarrow x=5$

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

$y=5-8$

$\Rightarrow y=-3$

The solution is (5,-3).

The correct answer is B