+1495 Help me Please
Solve the System for x and y
{12/x + 5/y = 8
{8/x - 3/y = -1
+9466 \(\frac{12}{x}+\frac5y=8\\ \frac8x-\frac3y=-1 \)
This is the same as....
\(12(\frac1x)+5(\frac1y)=8 \\ 8(\frac1x)-3(\frac1y)=-1\)
Multiply the top equation through by 2 , and
multiply the bottom equation through by -3 .
\(24(\frac1x)+10(\frac1y)=16 \\ -24(\frac1x)+9(\frac1y)=3 \)
Add the two equations together and solve for y .
\(19(\frac1y)=19 \\ 19=19y\\ \color{Emerald}1=y\)
Plug in 1 for y in one of the original equations to find x .
\(\frac{12}{x}+\frac51=8 \\ \frac{12}x=3 \\ 12=3x\\ \color{Emerald}4=x\)
+9466 \(\frac{12}{x}+\frac5y=8\\ \frac8x-\frac3y=-1 \)
This is the same as....
\(12(\frac1x)+5(\frac1y)=8 \\ 8(\frac1x)-3(\frac1y)=-1\)
Multiply the top equation through by 2 , and
multiply the bottom equation through by -3 .
\(24(\frac1x)+10(\frac1y)=16 \\ -24(\frac1x)+9(\frac1y)=3 \)
Add the two equations together and solve for y .
\(19(\frac1y)=19 \\ 19=19y\\ \color{Emerald}1=y\)
Plug in 1 for y in one of the original equations to find x .
\(\frac{12}{x}+\frac51=8 \\ \frac{12}x=3 \\ 12=3x\\ \color{Emerald}4=x\)
