Question 154839
1.{{{(1/2)x + (1/3)y = 13}}}
2.{{{(2/5)x + (1/4)y =10}}}
First step I use when dealing with fractions is to multiply to get rid of all denominators.
Multiply all equations by 3*4*5=60.
1.{{{30x+20y=780}}}
2.{{{24x+15y=600}}}
Multiply eq. 1 by 4 and eq. 2 by -5 and add them.
This will get rid of x.
1.{{{120x+80y=3120}}}
2.{{{-120x-75y=-3000}}}
{{{(120x+80y)+(-120x-75y)=3120-3000}}}
{{{5y=120}}}
{{{highlight(y=24)}}}
Use either eq. 1 or 2 to solve for y.
1.{{{30x+20y=780}}}
{{{30x+20(24)=780}}}
{{{30x+480=780}}}
{{{30x=300}}}
{{{highlight(x=10)}}}