SOLUTION: solve each system by any method, if possible. If a system is inconsistent or if the equations are dependent, state this. {3/4x+2/3y=7 and 3/5x-1/2y=18

Algebra ->  Linear-equations -> SOLUTION: solve each system by any method, if possible. If a system is inconsistent or if the equations are dependent, state this. {3/4x+2/3y=7 and 3/5x-1/2y=18      Log On


   



Question 499397: solve each system by any method, if possible. If a system is inconsistent or if the equations are dependent, state this.
{3/4x+2/3y=7 and 3/5x-1/2y=18

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
3/4x + 2/3y = 7 (EQ1)
3/5x - 1/2y = 18 (EQ2)
.
.
Multiply EQ1 by 12 to eliminate fractions
9x + 8y = 84
.
subtract 9x from both sides
8y = -9x + 84
.
divide both sides by 8
y = -9/8x + 84/8
.
Multiply EQ2 by 10
6x - 5y = 180
.
subtract 6x from both sides
-5y = -6x + 180
.
divide both sides by -5
y = 6/5x - 36
.
graph%28500%2C500%2C-20%2C30%2C-20%2C30%2C-9%2F8%2Ax%2B84%2F8%2C6%2F5%2Ax-36%29