What is x-3y=1,4x-5y=22 ?

The solution to x-3y=1,4x-5y=22 is x= 61/7 ,y= 18/7

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

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

x = \frac{61}{7}, y = \frac{18}{7}

Solution steps

[x - 3 y = 1 4 x - 5 y = 22]

Isolate

x

for

x - 3 y = 1 : x = 1 + 3 y

Substitute

x = 1 + 3 y

[4 (1 + 3 y) - 5 y = 22]

Simplify

[4 + 7 y = 22]

Isolate

y

for

4 + 7 y = 22 : y = \frac{18}{7}

For

x = 1 + 3 y

Substitute

y = \frac{18}{7}

x = 1 + 3 \cdot \frac{18}{7}

1 + 3 \cdot \frac{18}{7} = \frac{61}{7}

x = \frac{61}{7}

The solutions to the system of equations are:

x = \frac{61}{7}, y = \frac{18}{7}

5 x + 2 y = 7, 2 x - 3 y = 18

2 b = 2, a = 1

x + 2 y = 6, x - y = 1

2 x + 3 y = 7, 4 x + 2 x = 10

3 x - 5 y = 9, 24 x - 12 = 42 y