Question

-2x+5y=-15 5x+2y=-6 what is the solution

Answer 1

Greetings!

To solve this, you can multiply one of the equations by a number so that one of the unknown values are the same as the other equation. Or simply multiply both numbers before the x together:

(-2x + 5y = -15 ) x 5 =

-10x + 25y = -75

(5x+2y=-6) x -2 =

-10x -4y = 12

Now, you can add or minus the two equations, but seeing as both values before the x are negative we can add the two equations to cancel out the x:

-10x -4y = 12 +

-10x + 25y = -75 =

0x + 21y = -63

21y =  -63

Simply divide -63 by 21 to find y:

-63 ÷ 21 = -3 , so the value of y = -3

Now you can substitute this value into one of the equations:

5x + 2y = -6

5x + 2(-3) = -6

5x = -6 - (-6)

5x = -6 + 6

5x = 0

x = 0

So that means x = 0 and y = -3

Hope this helps!