\left\{ \begin{array} { l } { y = 2 x - 1 } \\ { 1 = - x + 5 } \end{array} \right.
Solve for y, x
x=4
y=7
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-x+5=1
Consider the second equation. Swap sides so that all variable terms are on the left hand side.
-x=1-5
Subtract 5 from both sides.
-x=-4
Subtract 5 from 1 to get -4.
x=\frac{-4}{-1}
Divide both sides by -1.
x=4
Fraction \frac{-4}{-1} can be simplified to 4 by removing the negative sign from both the numerator and the denominator.
y=2\times 4-1
Consider the first equation. Insert the known values of variables into the equation.
y=8-1
Multiply 2 and 4 to get 8.
y=7
Subtract 1 from 8 to get 7.
y=7 x=4
The system is now solved.
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