Posted by **jasort120** on Friday, April 13, 2007 at 7:58pm.

i need help solving the system by addition.

5x-7y=5

x+3y=1

this is what i think but i am not sure

3y=-x+1

y= -(1/3)x+(1/3)

5x - 7 (-1/3x + 1/3) = 5

5x+2.3333331x-2.3333331=5

7.3333331x-2.3333331=5

7.3333331x=7.3333331

x=1

x+3y=1

1+3y=1

3y=1-1

3y=0

y=0

so my solutions i get is

x = 1 and y = 0

You have the solution ,but you did not get it by addition.

5x-7y=5

x+3y=1

Multiply the second equation by -5

5x-7y=5

-5x-15y=-5

Now add the equations.

0x - 22y= 0

solve, y=0

5x-7y=5

x+3y=1

Put y=0 into either equation, and solve for x.

- mATH, ALGEBRA -
**Anonymous**, Tuesday, May 24, 2011 at 4:29am
{5x-3y=11

{3x+y=1

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