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x=\frac{\frac{5}{2}}{2}
Consider the second equation. Divide both sides by 2.
x=\frac{5}{2\times 2}
Express \frac{\frac{5}{2}}{2} as a single fraction.
x=\frac{5}{4}
Multiply 2 and 2 to get 4.
2\times \frac{5}{4}+4y=1
Consider the first equation. Insert the known values of variables into the equation.
\frac{5}{2}+4y=1
Multiply 2 and \frac{5}{4} to get \frac{5}{2}.
4y=1-\frac{5}{2}
Subtract \frac{5}{2} from both sides.
4y=-\frac{3}{2}
Subtract \frac{5}{2} from 1 to get -\frac{3}{2}.
y=\frac{-\frac{3}{2}}{4}
Divide both sides by 4.
y=\frac{-3}{2\times 4}
Express \frac{-\frac{3}{2}}{4} as a single fraction.
y=\frac{-3}{8}
Multiply 2 and 4 to get 8.
y=-\frac{3}{8}
Fraction \frac{-3}{8} can be rewritten as -\frac{3}{8} by extracting the negative sign.
x=\frac{5}{4} y=-\frac{3}{8}
The system is now solved.