Question

What is the value of the x variable in the solution to the following system of equations?
2x + 3y = 1
3x - 4y = 10

2

-1

1

-2

Answer 1

1) firstly, since theyre asking you for X, you can cancel out y by multiplying the first equation by 4 and the second one by 3 so that both the Y terms become 12 and can cancel.

so... --> (2x + 3y = 1) X4
(3x - 4y = 10) X3

2) therefore you get: 8x + 12y = 4
+ 9x - 12y = 30
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3) after adding the equations, * i added them because 12 + (-12) will cancel to give 0*
you end up getting: ---> 17x = 34

4)divide both sides by 17 to get x...therefore 34/17 =2

5) so x = 2