What is 4x+3y=8,8x-9y=-77 ?

The solution to 4x+3y=8,8x-9y=-77 is x=-53/20 ,y= 31/5

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4x+3y=8,8x-9y=-77

4 x + 3 y = 8, 8 x - 9 y = - 77

x = - \frac{53}{20}, y = \frac{31}{5}

Solution steps

[4 x + 3 y = 8 8 x - 9 y = - 77]

Isolate

x

for

4 x + 3 y = 8 : x = \frac{8 - 3 y}{4}

Substitute

x = \frac{8 - 3 y}{4}

[8 \cdot \frac{8 - 3 y}{4} - 9 y = - 77]

Simplify

[- 15 y + 16 = - 77]

Isolate

y

for

- 15 y + 16 = - 77 : y = \frac{31}{5}

For

x = \frac{8 - 3 y}{4}

Substitute

y = \frac{31}{5}

x = \frac{8 - 3 \cdot \frac{31}{5}}{4}

\frac{8 - 3 \cdot \frac{31}{5}}{4} = - \frac{53}{20}

x = - \frac{53}{20}

The solutions to the system of equations are:

x = - \frac{53}{20}, y = \frac{31}{5}

\frac{x}{100} + 8 y = 17, 3 x - 200 y = 3800

999 x + 888 y = 88, 9888 x + 999 y = 667

2 x + 3 y = 6, 4 x - y = - 4

1 - 4 x = 1, 6 x - 5 y = 9

3 (2 x - y) = 9, 2 (x + y) = 0

What is 4x+3y=8,8x-9y=-77 ?
The solution to 4x+3y=8,8x-9y=-77 is x=-53/20 ,y= 31/5