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# elimination

4x-6y+4
-2x+7=-3y

solve using elimination

4x-6y+4 is not an equation.

Did you mean 4x-6y = 4 or 4x = -6y + 4?

### 2 Answers by Expert Tutors

Jason S. | My goal is the success of my students. Knowledge-Patience-HonestyMy goal is the success of my students. K...
4.9 4.9 (115 lesson ratings) (115)
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Assuming you mean...

4x-6y = 4
-2x+7=-3y

Solving by elimination, instead of substitution...

Put x and y on the same side of the second equation
-2x + 3y = -7

Multiply the bottom equation by 2

4x - 6y = 4
2(-2x + 3y) = 2(-7)         =>             -4x +6y = -14

0 = -10

No solution.

This is why I posted the comment about you reposting the question.

If you change the -3y you posted into +3y, then of course it works out as Adam posted below.

Thus the reason I posted the comment asking you to verify that you posted the question correctly.

Have a great day.
Adam P. | Math Tutor for All LevelsMath Tutor for All Levels
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4x - 6y =4, solve for x

4x = 4 + 6y

x = 1 + (6/4)y

-2x +7 = 3y

-2(1 +6/4)y) + 7 = 3y     (plug in solved value for x)

-2 - 3y +7 = 3y

-6y +5 = 0 (set equal to zero and combine like terms)

-6y = -5

y = 5/6

use equation from above [x = 1 + (6/4)y] to find value of x

x = 1 + (6/4)(5/6)

x= 1 + 30/24

x = 1 + 1.25

x = 2.25

Check:

4x - 6y = 4
4(2.25) - 6(5/6) = 4
9 - 5 = 4
4 = 4 Check

-2x + 7 = 3y
-2(2.25) + 7 = 3(5/6)

-4.5 +7 = 2.5
2.5 = 2.5 Check