What is 5x+2y=850,x+3y=300 ?

The solution to 5x+2y=850,x+3y=300 is x=150,y=50

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5x+2y=850,x+3y=300

5 x + 2 y = 850, x + 3 y = 300

x = 150, y = 50

Solution steps

[5 x + 2 y = 850 x + 3 y = 300]

Isolate

x

for

5 x + 2 y = 850 : x = \frac{850 - 2 y}{5}

Substitute

x = \frac{850 - 2 y}{5}

[\frac{850 - 2 y}{5} + 3 y = 300]

Simplify

[\frac{850 + 13 y}{5} = 300]

Isolate

y

for

\frac{850 + 13 y}{5} = 300 : y = 50

For

x = \frac{850 - 2 y}{5}

Substitute

y = 50

x = \frac{850 - 2 \cdot 50}{5}

\frac{850 - 2 \cdot 50}{5} = 150

x = 150

The solutions to the system of equations are:

x = 150, y = 50

3 x + y = 8, 6 x + y = 7

5 x - 2 y = 22, 3 x + y = 22

4 x + 3 y = 2, 7 x - 8 y = - 23

x - 2 y = 2, - x + 2 y = - 2 y

6 x + 5 y = 3, 2 - 6 x + 4 y = 8