Question 54398
Solve the system of equations:
1) {{{3x/2+y/4 = 7}}} Multiply through by 4, the LCD to clear the fractions.
1a) {{{6x+y = 28}}} 
2) {{{x/5-2y/3 = 7/3}}} Mulitiply through by 15, the LCD to clear the fractions.
2a) {{{3x-10y = 35}}}
Rewrite equation 1a) as:
1b) {{{y = 28-6x}}} and substitute for y in equation 2a)
2b) {{{3x - 10(28-6x) = 35}}} Simplify and solve for x.
2c) {{{3x - 280+60x = 35}}}
2d) {{{63x = 315}}} Divide both sides by 63.
2e) {{{x = 5}}} Now substitute this for x in equation 1b)
1c) {{{y = 28-6(5)}}}
1d) {{{y = -2}}}

The solution to the system of equations is:
(5, -2)