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

1 answer:

5 0

<h2>Greetings!</h2><h3>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:</h3>

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

-10x + 25y = -75

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

-10x -4y = 12

<h3>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:</h3>

-10x -4y = 12 +

-10x + 25y = -75 =

0x + 21y = -63

21y = -63

<h3>Simply divide -63 by 21 to find y:</h3>

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

<h3>Now you can substitute this value into one of the equations:</h3>

5x + 2y = -6

5x + 2(-3) = -6

5x = -6 - (-6)

5x = -6 + 6

5x = 0

x = 0

<h3>So that means x = 0 and y = -3</h3>
<h2>Hope this helps!</h2>

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