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What is the solution of the system of equations? {4x−3y=152x+2y=4

User Noitse
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2 Answers

4 votes
I hope this helps. You can write the answers as x=28 8/11 ; y=12 4/11
What is the solution of the system of equations? {4x−3y=152x+2y=4-example-1
User ItsAmy
by
5.3k points
4 votes

Answer:

(x, y) = (3, -1)

Explanation:

Multiply the second equation by 2 and subtract the first equation.

... 2(2x +2y) -(4x -3y) = 2(4) -(15)

... 7y = -7 . . . . . . simplify

... y = -1 . . . . . . . .divide by 7

Substitute this value into the second equation.

... 2x +2(-1) = 4

... 2x = 6 . . . . . . . add 2

... x = 3 . . . . . . . . divide by 3

The solution is (x, y) = (3, -1).

User Mukund
by
4.8k points
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