SOLUTION: Solve these linear equations algebraically. State the coordinates 1) 8x+5=9 2x-5y=-4 2) 3x+5y=7 2x+4y=6

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve these linear equations algebraically. State the coordinates 1) 8x+5=9 2x-5y=-4 2) 3x+5y=7 2x+4y=6       Log On


   

Question 1011631: Solve these linear equations algebraically. State the coordinates
1) 8x+5=9
2x-5y=-4

2) 3x+5y=7
2x+4y=6
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
3x + 5y = 7   (1)
2x + 4y = 6   (2)

Multiply equation (1) by 2. Multiply the equation (2) by -3 and then add. 
You will get (after canceling like terms) a single equation for y:

10y - 12y = 14 - 18,   or

-2y = -4.

Hence, y = 2. Now from (1) you can find x = %287-5y%29%2F3 = %287-5%2A2%29%2F3 = %287-10%29%2F3 = -3%2F3 = -1.

Answer. x = -1, y = 2.

I didn't solve the system #1, because I am not sure you wrote it correctly.