What is 2x-3y=10,0.4x-y=10 ?

The solution to 2x-3y=10,0.4x-y=10 is x=-25,y=-20

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2x-3y=10,0.4x-y=10

2 x - 3 y = 10, 0.4 x - y = 10

x = - 25, y = - 20

Solution steps

[2 x - 3 y = 10 0.4 x - y = 10]

Isolate

x

for

2 x - 3 y = 10 : x = \frac{10 + 3 y}{2}

Substitute

x = \frac{10 + 3 y}{2}

[0.4 \cdot \frac{10 + 3 y}{2} - y = 10]

Simplify

[2 - 0.4 y = 10]

Isolate

y

for

2 - 0.4 y = 10 : y = - 20

For

x = \frac{10 + 3 y}{2}

Substitute

y = - 20

x = \frac{10 + 3 ( - 20 )}{2}

\frac{10 + 3 ( - 20 )}{2} = - 25

x = - 25

The solutions to the system of equations are:

x = - 25, y = - 20

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

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

\frac{x}{10} + \frac{y}{5} = 1, 4 \frac{x}{8} + \frac{y}{6} = 15

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

2 x - 5 y = 20, - 3 (x - y) + y = - 2