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Enter the ordered pair that is the solution to the system of equations graphed below. y = -3x + 7 y = -2x + 5
Question
Enter the ordered pair that is the solution to the system of equations graphed
below.
y = -3x + 7
y = -2x + 5
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Mathematics
4 years
2021-08-17T03:08:08+00:00
2021-08-17T03:08:08+00:00 2 Answers
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Answers ( )
Answer:
(2,1)
Step-by-step explanation:
-3x + 7 = -2x + 5
x = 2
y = -6 + 7
y = 1
Answer:
(2,1)
Step-by-step explanation:
Remark
One thing you need to remind yourself of: The y value in both equations must be the same.
That means that the two right hand values are
-3x + 7 = – 2x + 5 Subtract 5 from both sides.
-5 -5
-3x + 2 = – 2x Add 3x to both sides
+3x +3x
2 = x
Now use one of the equations to solve for y
y = -2x + 5
y = -2(2) + 5
y = – 4 + 5
y = 1
We should check this by graphing it. Notice the two graphs do cross at (2,1) just as predicted.