What is 7x-4y=49,5x-y=57 ?

The solution to 7x-4y=49,5x-y=57 is x= 179/13 ,y= 154/13

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7x-4y=49,5x-y=57

7 x - 4 y = 49, 5 x - y = 57

x = \frac{179}{13}, y = \frac{154}{13}

Solution steps

[7 x - 4 y = 49 5 x - y = 57]

Isolate

x

for

7 x - 4 y = 49 : x = \frac{49 + 4 y}{7}

Substitute

x = \frac{49 + 4 y}{7}

[5 \cdot \frac{49 + 4 y}{7} - y = 57]

Simplify

[\frac{245 + 13 y}{7} = 57]

Isolate

y

for

\frac{245 + 13 y}{7} = 57 : y = \frac{154}{13}

For

x = \frac{49 + 4 y}{7}

Substitute

y = \frac{154}{13}

x = \frac{49 + 4 \cdot \frac{154}{13}}{7}

\frac{49 + 4 \cdot \frac{154}{13}}{7} = \frac{179}{13}

x = \frac{179}{13}

The solutions to the system of equations are:

x = \frac{179}{13}, y = \frac{154}{13}

2 x + 3 y = 0, 3 x - 8 y = 0

5 x - 2 y = 4, 3 x + y = 9

4 x + 5 y = 6, y = 2 x - 10

a + n = 35, 35 a + 35 n = 2125

\frac{1}{3} \cdot x + y = \frac{10}{3}, 2 x + \frac{1}{4} \cdot y = \frac{11}{4}

What is 7x-4y=49,5x-y=57 ?
The solution to 7x-4y=49,5x-y=57 is x= 179/13 ,y= 154/13