+318 Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If there are an infinite number of solutions, enter the general solution in terms of x, where x is any real number.)
2/3x+1/4y=3
-1/3x-5/4y=3
+129852
2/3x+1/4y=3
-1/3x-5/4y=3
Multiply both sides of each equation by 12 to clear the fractions
8x + 3y = 36
-4x - 15y = 36
Multiply the second equation by 2
8x + 3y = 36
-8x - 30y = 72 add these equations
-27y = 108 divide both sides by -27
y = -4
And using 8x + 3y = 36
8x + 3(-4) = 36
8x - 12 = 36 add 12 to both sides
8x = 48 divide both sides by 8
x = 6
