What is 6x+5y=4,0.2x+0.3y=2 ?

The solution to 6x+5y=4,0.2x+0.3y=2 is x=-11,y=14

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6x+5y=4,0.2x+0.3y=2

6 x + 5 y = 4, 0.2 x + 0.3 y = 2

x = - 11, y = 14

Solution steps

[6 x + 5 y = 4 0.2 x + 0.3 y = 2]

Isolate

x

for

6 x + 5 y = 4 : x = \frac{4 - 5 y}{6}

Substitute

x = \frac{4 - 5 y}{6}

[0.2 \cdot \frac{4 - 5 y}{6} + 0.3 y = 2]

Simplify

[0.13333 \dots + 0.13333 \dots y = 2]

Isolate

y

for

0.13333 \dots + 0.13333 \dots y = 2 : y = 14

For

x = \frac{4 - 5 y}{6}

Substitute

y = 14

x = \frac{4 - 5 \cdot 14}{6}

\frac{4 - 5 \cdot 14}{6} = - 11

x = - 11

The solutions to the system of equations are:

x = - 11, y = 14

3 x - y = 5, y = 7 - x

x + 3 y = 12, 3 x + 2 y = 123

7 x - 3 y = 31, 9 x - 5 y = 41

6 x + 4 y = 8, - x - 4 y = 12

x - 3 y = 1, 4 x - 5 y = 22