Question

how do i solve this system:
5x+2y =7
-x/2 + y/6 = 3/2

Answer 1

solve for y in the top:

y = -5x/2 +7/2

plug it into the bottom equation:

-x/2 + (-5x/2 +7/2)/6 = 3/2

Solve for x:

-x/2 -5x/12 +7/12 = 3/2
-6x/12 -5x/12 +7/12 = 18/12

-6x -5x +7 =18

-11x = 11
x=-1

Now that we have a solid number for x; plug it into the equation we found for y:

y = -5(-1)/2 +7/2
y= 5/2 + 7/2
y= 12/2 = 6

Double check for accuracy :)

Answer 2

how do you know that the 7 only goes to where the y is.. i thoguth you were supposed to plug 0 in for one of the values and then solve and then use that answer for the equatiuon