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18 votes
18 votes
What is the one solution for the linear equations y=3x-5 and y=-3x+7

User Roy Calderon
by
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2 Answers

16 votes
16 votes

Answer:

y=1 and x=2

Explanation:

Add the two linear equation and you will have 2y=2, y=1. Plugging this in any equation, we have x=2

User Fiffy
by
3.1k points
28 votes
28 votes

Answer:

The solution is (2,1)

Explanation:

Set the two equations equal

y=3x-5 and y=-3x+7

3x-5 = -3x+7

Add 3x to each side

3x-5+3x = -3x+7+3x

6x-5 = 7

Add 5 to each side

6x-5+5 = 7+5

6x = 12

Divide by 6

6x/6 = 12/6

x=2

Now find y

y =3x-5

y=3(2)-5

y = 6-5

y=1

The solution is (2,1)

User Abhishek Madhani
by
2.4k points