Answer:
x=4/5
y=-2/5
Step-by-step explanation:
We have two equations:
\(3\cdotx-9\cdoty=6\)
\(2\cdotx-11\cdoty=6\)
We can eliminate x by making x of equation 1 be equal to x in the equation 2:
\(x=2+3\cdoty\)
Substitute into equation 2:
\(2\cdot(2+3\cdoty)-11\cdoty=6\)
Simplify:
\(2\cdot2+2\cdot3\cdoty-11\cdoty=6\)
\(4+6\cdoty-11\cdoty=6\)
\(-5\cdoty=2\)
\(y=-2/5\)
Substitute back into one of the equations:
\(x=2+3\cdot(-2/5)\)
\(x=2-6/5\)
\(x=10/5-6/5=4/5\)
