\left( \begin{array} { l l } { 2 } & { x } \\ { 3 } & { 4 } \end{array} \right) \left( \begin{array} { l } { 1 } \\ { 2 } \end{array} \right) = \left( \begin{array} { l } { 7 } \\ { y } \end{array} \right)
Solve for x, y
x = \frac{5}{2} = 2\frac{1}{2} = 2.5
y=11
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2x=7-2
Consider the first equation. Subtract 2 from both sides.
2x=5
Subtract 2 from 7 to get 5.
x=\frac{5}{2}
Divide both sides by 2.
y=11
Consider the second equation. Swap sides so that all variable terms are on the left hand side.
x=\frac{5}{2} y=11
The system is now solved.
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Limits
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