What is 2x-y+10=0,x+2y-25=0 ?

The solution to 2x-y+10=0,x+2y-25=0 is x=1,y=12

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2x-y+10=0,x+2y-25=0

2 x - y + 10 = 0, x + 2 y - 25 = 0

x = 1, y = 12

Solution steps

[2 x - y + 10 = 0 x + 2 y - 25 = 0]

Isolate

x

for

2 x - y + 10 = 0 : x = \frac{y - 10}{2}

Substitute

x = \frac{y - 10}{2}

[\frac{y - 10}{2} + 2 y - 25 = 0]

Simplify

[\frac{5 y - 10}{2} - 25 = 0]

Isolate

y

for

\frac{5 y - 10}{2} - 25 = 0 : y = 12

For

x = \frac{y - 10}{2}

Substitute

y = 12

x = \frac{12 - 10}{2}

Simplify

x = 1

The solutions to the system of equations are:

x = 1, y = 12

7 m + 10 n = 77, 3 m + 4 n = 32

3 x + 2 y = 5, 2 x - y = 8

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

x = 4, y = 3

\frac{2}{( 3 x )} = 4, m - 5 = \frac{2}{7}