Question

Solve the following system and show all of your work.
3y − 2x = 11
y + 2x = 9

Answer 1

switch around the equations....
\[2x=3y-11\]
\[2x=9-y\]
substitute one into the other, since both equal 2x
\[3y-11=9-y\]
simplify
\[4y=20\]
solve for y
\[y=5\]
plug in y into one equation
\[3(5)-2x=11\]
solve for x
\[-2x=-4\]
answer:
\[x=2\] \[y=5\]