Question

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.

Answer 1

{5x-3y=11
{3x+y=1