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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)

User Kadrian
by
7.7k points

2 Answers

4 votes

Answer:

d (6,1)

Explanation:

a pex

User Stephane L
by
8.2k points
4 votes

Answer:

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.

You can ask any question here if you still cannot get the point. Don't be shy.

User SandaliTP
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8.0k points

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