Question

Solve, using the substitution method.

Answer 1

Hello there!

The question asks us to solve using the substitution method. The equations given are:

$2x+3y=1$

$y=x-8$

We are given a value for y, which is x-8. Substituting $y=x-8$ into the first equation of the system of equation gives us:

$2x+3y=1$

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

Use the distributive property to help simplify and solve for x

$2x+3x-24=1$

Combine like terms

$5x-24=1$

Add 24 to both sides

$5x-24+24=1+24$

$5x=25$

Finally, divide both sides by 5

$x=5$

Now, let's use $x=5$ in the equation $y=x-8$ to find the value of y

$y=x-8$

$y=5-8$

$y=-3$

Now, we have the values x=5 and y=-3. Putting these values into an ordered pair gives us the answer (5,-3), which is the last answer choice.

Let me know if you need any clarifications, thanks!

~ Padoru