elimination

Question

4x-6y+4

-2x+7=-3y

 

solve using elimination

Answer 1

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

 

Add both equations together:

0 = -10

 

No solution.

 

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

 

 

Answer 2

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