solve 2x - 5y = -16 4x - 10y = -16

Question

2x - 5y = -16

4x - 10y= -16

Answer 1

Hi!

First you need to put these in y=mx+b form. 

• 2x - 5y = -16
• Subtract both sides by (2x), giving you -5y= -16-2x
• Divide by both sides by (-5) to get y by itself, giving you y= (16/5) + (2/5)x
• 4x - 10y= -16
• Follow the same steps: first subtract by (4x), giving you -10y= -16 - 4x
• Divide both sides by (-10) giving you, y= (16/10) + (4/10)x   which can be simplified to y= (8/5) + (2/5)x

 

If solving for x and y then set both equations equal to each other since they are both equal to -16:

• 2x-5y = 4x -10y
• Combine like terms: add 10y to both sides giving you, 2x -5y = 4x
• subtract 2y from both sides giving you -5y = 2x
• Divide by -5, so now y= -(2/5)x
• Now substitute one of the old equations in to receive what y is equal to