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

The solution to 3x-y=5,4x-3y=-1 is x= 16/5 ,y= 23/5

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

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

x = \frac{16}{5}, y = \frac{23}{5}

Solution steps

[3 x - y = 5 4 x - 3 y = - 1]

Isolate

x

for

3 x - y = 5 : x = \frac{5 + y}{3}

Substitute

x = \frac{5 + y}{3}

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

Simplify

[\frac{20 - 5 y}{3} = - 1]

Isolate

y

for

\frac{20 - 5 y}{3} = - 1 : y = \frac{23}{5}

For

x = \frac{5 + y}{3}

Substitute

y = \frac{23}{5}

x = \frac{5 + \frac{23}{5}}{3}

\frac{5 + \frac{23}{5}}{3} = \frac{16}{5}

x = \frac{16}{5}

The solutions to the system of equations are:

x = \frac{16}{5}, y = \frac{23}{5}

x + y = 4, 1 x = 5 + y

5 x + y = - 19, 7 x - y = - 16

3 p - 5 q = - 3, 4 p - 5 p = 1

3 x + y = 2, 5 x - y = - 9

3 a + 2 b = 54, 5 a + 4 b = 92