Algebra 1
posted by Liz .
3x + 4y = 2 and 2x  3y = 10

many ways to solve this: substitution, graphing, system of equations, etc.
I prefer system of equations, so here you go!
2(3x + 4y = 2) 6x + 8y = 4
3(2x  3y = 10) (6x  9y = 30)subtract
17y = 34
y = 2
plug in 2 for y into one of the equations and solve...
3x + 4(2) = 2
3x=6
x=2 
Are we finding the intersection of these two lines ???
if so then
multiply the 1st by 3 > 9x + 12y = 6
multiply the 2nd by 4 > 8x  12y = 40
add them
17x = 34
x = 2
plug that into the 1st
3(2) + 4y = 2
4y = 8
y = 2
x = 2, y = 2