Question

Solve, using the substitution method.

2x + 3y = 1

y = x – 8



(4, –4)


(0, –8)


(2, –6)


(5, –3)

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