Answer
x=0.5
y=0.2
(0.5,0.2)
Work Step by Step
$10y-2x=1$
$5y=4-6x$
Solve for y in the second equation.
$5y=4-6x\longrightarrow$ Multiply both sides by $\frac{1}{5}$.
$\frac{1}{5}(5y)=\frac{1}{5}(4-6x)\longrightarrow$ Simplify. Apply the distributive property.
$y=\frac{4}{5}-\frac{6}{5}x$
Substitute for y in the first equation.
$10(\frac{4}{5}-\frac{6}{5}x)-2x=1\longrightarrow$ Simplify. Apply the distributive proeprty.
$\frac{40}{5}-\frac{60}{5}x-2x=1\longrightarrow$ Simplify.
$8-12x-2x=1\longrightarrow$ Simplify.
$8-14x=1\longrightarrow$ Subtract 8 from both sides..
$8-14x-8=1-8\longrightarrow$ Simplify.
$-14x=-7\longrightarrow$ Divide both sides by -14.
$-14x\div-14=-7\div-14\longrightarrow$ Simplify.
$x=0.5$
Substitute for x and solve for y.
$10y-2(0.5)=1\longrightarrow$ Simplify.
$10y-1=1\longrightarrow$ Add 1 to both sides.
$10y-1+1=1+1\longrightarrow$ Simplify.
$10y=2\longrightarrow$ Divide both sides by 10.
$10y\div10=2\div10\longrightarrow$ Simplify.
$y=0.2$
