Solve the simultaneous equation 2x+5y=29, 3x+5y=-19

x = - 48, y = 25

Step-by-step explanation:

Both equations have a 5y term, we can work with that.

Let's first convert them into 5y = ... form:

2x + 5y = 29 = > 5y = 29 - 2x

3x + 5y = - 19 = > 5y = - 3x - 19

Now we can equate the right-hand sides:

29 - 2x = - 3x - 19

And simplify:

29 + 19 = - 3x + 2x = > x = - 48

Let's put this x value in the first:

2 * (-48) + 5y = 29 = >

-96 - 29 = - 5y = >

-5y = - 125 = >

y = 25