Question

Use the substitution method to solve the system of equations. Choose the

correct ordered pair.
x + 3y = 9
y = x-5
A. (6,3)
B. (3,-2)
C. (1,-5).
D. (6,1)

Answer 1

d (6,1)

Explanation:

a pex

Answer 2

D (6,1)

Explanation:

`x + 3y = 9`

`y = x-5`

When
`y = x-5`, it means we don't need to move the variables to the left side and right side. We can use
`y = x-5` to substitute into the first equation
`x + 3y = 9` directly.

`x + 3y = 9`

`x+3(x-5)=9`

`x+3x-15=9`

`4x=9+15`

`4x=24`

`x=6`

When x=6, we can substitute the value of x into any equation whatever you want. You can choose
`x + 3y = 9` or
`y = x-5`. I choose
`y = x-5` is easier to get the value of y.

When x=6, substitute into
`y = x-5`

`y=6-5`

`y=1`

Hooray, now you have the value of x and y which are x=6 and y=1.

I hope you will understand the answer.

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