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PLS HELP I NEED THIS QUICK THANK YOU IN ADVANCE

Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
y = 5x-17
y = x + 3
OA. (5,8)
OB. (4,7)
O C. (1,-12)
OD. (5,-17)

PLS HELP I NEED THIS QUICK THANK YOU IN ADVANCE Use the substitution method to solve-example-1
User Vimal Bera
by
3.4k points

2 Answers

6 votes

Answer:

We can use the substitution method to solve the system of equations.

Since y = x + 3, we can substitute this expression for y in the first equation:

y = 5x - 17

x + 3 = 5x - 17

Subtracting x from both sides, we get:

3 = 4x - 17

Adding 17 to both sides, we get:

20 = 4x

Dividing both sides by 4, we get:

x = 5

Substituting this value of x into either equation, we get:

y = x + 3 = 5 + 3 = 8

Therefore, the correct ordered pair is (5, 8), which corresponds to the point where the two lines intersect.

The correct answer is (A) (5,8).

User Huliax
by
3.3k points
4 votes

Answer:

A(5 ; 8)

Explanation:

y = 5x - 17

y = x + 3

5x - 17 = x + 3

⇔ 5x - x = 3 + 17

⇔ 4x = 20

⇔ x = 20/4

x = 5

y = 5 + 3 = 8

So (5 ; 8)