\left\{ \begin{array} { c } { x = 5 } \\ { 5 x + 7 y = 13 } \end{array} \right.
Solve for x, y
x=5
y = -\frac{12}{7} = -1\frac{5}{7} \approx -1.714285714
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5\times 5+7y=13
Consider the second equation. Insert the known values of variables into the equation.
25+7y=13
Multiply 5 and 5 to get 25.
7y=13-25
Subtract 25 from both sides.
7y=-12
Subtract 25 from 13 to get -12.
y=-\frac{12}{7}
Divide both sides by 7.
x=5 y=-\frac{12}{7}
The system is now solved.
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