Question

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

Answer 1

Answer:

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