x+3y=-8 and 4x-3y=23

Question

how to slove for x and y in these equations

Answer 1

You can use various methods to solve this problem. The one that jumps out at me is elimination.

x + 3y = -8

4x - 3y = 23

If you line it up, you'll see that one equation has a positive 3y and the other has a negative 3y.

If you add the two equations, column by column, you'll be able to eliminate the y variable.

(x + 4x) + (3y + -3y) = -8 + 23

this simplifies to

5x + 0y = 15

Simplified further to 5*x = 15

Now you can solve for x by dividing both sides by 5.

Once you get the answer for x, you can plug it back into one of the original equations and solve for y.