Question 152079
Solve:
{{{6x+(2/3)y = 9}}}
{{{2x+(2/3)y = 7}}} Subtract the second equation from the first equation to eliminate the y.
{{{4x = 2}}} Divide both sides by 4.
{{{x = 1/2}}} Now substitute this value of x into either of the two given equations to solve for y. The second equation will work nicely.
{{{2(1/2)+(2/3)y = 7}}} Simplify.
{{{1+(2/3)y = 7}}} Subtract 1 from both sides.
{{{(2/3)y = 6}}} Multiply both sides by the multiplicative inverse of {{{2/3}}}, that's {{{3/2}}}
{{{(3/2)(2/3)y = 6(3/2)}}}
{{{y = 9}}}
The solution is: (1/2, 9)