What is 3x-7y=-1,0x+5y=4 ?

The solution to 3x-7y=-1,0x+5y=4 is x= 23/15 ,y= 4/5

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3x-7y=-1,0x+5y=4

3 x - 7 y = - 1, 0 x + 5 y = 4

x = \frac{23}{15}, y = \frac{4}{5}

Solution steps

[3 x - 7 y = - 1 0 \cdot x + 5 y = 4]

Isolate

x

for

3 x - 7 y = - 1 : x = \frac{- 1 + 7 y}{3}

Substitute

x = \frac{- 1 + 7 y}{3}

[0 \cdot \frac{- 1 + 7 y}{3} + 5 y = 4]

Simplify

[5 y = 4]

Isolate

y

for

5 y = 4 : y = \frac{4}{5}

For

x = \frac{- 1 + 7 y}{3}

Substitute

y = \frac{4}{5}

x = \frac{- 1 + 7 \cdot \frac{4}{5}}{3}

\frac{- 1 + 7 \cdot \frac{4}{5}}{3} = \frac{23}{15}

x = \frac{23}{15}

The solutions to the system of equations are:

x = \frac{23}{15}, y = \frac{4}{5}

3 x - 2 = 6, x - y = 9

(a) y = x^{2} - 2 x, x = 1

5 x + 0.3 y = 4.56, 0.02 x - 0.9 y = - 0.912

4 x + 5 y = 5, 2 x - y = 12

3 x + 4 y = 2, 7 - x - y = 1