What is 2x-y=5,x+3y=10 ?

The solution to 2x-y=5,x+3y=10 is x= 25/7 ,y= 15/7

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2x-y=5,x+3y=10

2 x - y = 5, x + 3 y = 10

x = \frac{25}{7}, y = \frac{15}{7}

Solution steps

[2 x - y = 5 x + 3 y = 10]

Isolate

x

for

2 x - y = 5 : x = \frac{5 + y}{2}

Substitute

x = \frac{5 + y}{2}

[\frac{5 + y}{2} + 3 y = 10]

Simplify

[\frac{5 + 7 y}{2} = 10]

Isolate

y

for

\frac{5 + 7 y}{2} = 10 : y = \frac{15}{7}

For

x = \frac{5 + y}{2}

Substitute

y = \frac{15}{7}

x = \frac{5 + \frac{15}{7}}{2}

\frac{5 + \frac{15}{7}}{2} = \frac{25}{7}

x = \frac{25}{7}

The solutions to the system of equations are:

x = \frac{25}{7}, y = \frac{15}{7}

y - \frac{15}{( 4 y )} + 1 = 0, y = 0

4 x + 5 y = 5, - 4 x - 10 y = - 7

y = 0, x = 1, y = 0

x + 5 y = 19, 2 x - y = 5

\frac{1}{x} + \frac{1}{y} = 5, \frac{3}{x} + \frac{2}{y} = 12