SOLUTION: I need help on a problem. Solve the system of equations by graphing and is it a solution or not. I need help with the steps too. x-2y=-2, x+2y=10

Algebra ->  Systems-of-equations -> SOLUTION: I need help on a problem. Solve the system of equations by graphing and is it a solution or not. I need help with the steps too. x-2y=-2, x+2y=10      Log On


   

Question 653636: I need help on a problem. Solve the system of equations by graphing and is it a solution or not. I need help with the steps too. x-2y=-2, x+2y=10
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
1) x-2y+=+-2 and
2) x%2B2y+=+10
Get both of these equations into the slope-intercept form: y+=+mx%2Bb
1) x-2y+=+-2 Add 2y to both sides.
1a) x+=+2y-2 Add 2 to both sides.
1b) x%2B2+=+2y Divide both sides by 2.
1c %281%2F2%29x%2B1+=+y or highlight%28y+=+%281%2F2%29x%2B1%29
2) x%2B2y+=+10 Subtract x from both sides.
2a) 2y+=+-x%2B10 Divide both sides by 2.
2b) highlight_green%28y+=+%28-1%2F2%29x%2B5%29
Now graph these:
graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C%281%2F2%29x%2B1%2C%28-1%2F2%29x+%2B5%29
Yes there is a solution and it's (4, 3)