Let's rewrite the equations to eliminate the fractions.
Multiply equation 1 by 6 and equation 2 by 15
This give us:
3x + 2y = 4
5x + 3y = 7
Multiply the first equation by 3 and the 2nd equation by 2 so that the coefficient of y in both equation is the same.
9x + 6y = 12
10x + 6y = 14
Multiply equation 1 by -1
-9x - 6y = -12
10x + 6y = 14
Add the 2 equations
x = 2
Use this value of x in either of the equations to solve for y.
I'm going to use the first equation without the fraction.
3x + 2y = 4
3(2) + 2y = 4
And solve for y
y=-1
X = 2, y=-1
Hope this helps.
