What is 8x-3y=9,x-5y=1 ?

The solution to 8x-3y=9,x-5y=1 is x= 42/37 ,y= 1/37

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8x-3y=9,x-5y=1

8 x - 3 y = 9, x - 5 y = 1

x = \frac{42}{37}, y = \frac{1}{37}

Solution steps

[8 x - 3 y = 9 x - 5 y = 1]

Isolate

x

for

8 x - 3 y = 9 : x = \frac{9 + 3 y}{8}

Substitute

x = \frac{9 + 3 y}{8}

[\frac{9 + 3 y}{8} - 5 y = 1]

Simplify

[\frac{9 - 37 y}{8} = 1]

Isolate

y

for

\frac{9 - 37 y}{8} = 1 : y = \frac{1}{37}

For

x = \frac{9 + 3 y}{8}

Substitute

y = \frac{1}{37}

x = \frac{9 + 3 \cdot \frac{1}{37}}{8}

\frac{9 + 3 \cdot \frac{1}{37}}{8} = \frac{42}{37}

x = \frac{42}{37}

The solutions to the system of equations are:

x = \frac{42}{37}, y = \frac{1}{37}

4 a - 5 b = - 23, 2 a + b = - 1

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

a + b = 3, a = 5 b

5 x + y = 1, 4 - 5 x + 5 y = 10

x - y = - 1, 3 x - 2 y = 12