4x-3y=10;2x-3y=2

Question

Must use Elimination

Answer 1

4x - 3y = 10

2x - 3y = 2

 

We can start by multiplying the second equation by -1 and rewrite both equations again:

 

4x - 3y = 10

-2x + 3y = -2

 

Now, we can add both equations and the 3y's will cancel out:

 

2x = 8

x = 4

 

We found that x = 4, so we can now plug that value back into any of the original equations and solve for y:

 

4x - 3y = 10

4(4) - 3y = 10

16 - 3y = 10

- 3y = - 6

y = 2

 

Now that we have solved for both variables, we can check our answers by plugging both x and y into any original equation and verifying that they work:

 

4x - 3y = 10

4(4) - 3(2) = 10

16 - 6 = 10

10 = 10

 

2x - 3y = 2

2(4) - 3(2) = 2

8 - 6 = 2

2 = 2