What is 4x+5y=19,5x-6y=-7 ?

The solution to 4x+5y=19,5x-6y=-7 is x= 79/49 ,y= 123/49

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4x+5y=19,5x-6y=-7

4 x + 5 y = 19, 5 x - 6 y = - 7

x = \frac{79}{49}, y = \frac{123}{49}

Solution steps

[4 x + 5 y = 19 5 x - 6 y = - 7]

Isolate

x

for

4 x + 5 y = 19 : x = \frac{19 - 5 y}{4}

Substitute

x = \frac{19 - 5 y}{4}

[5 \cdot \frac{19 - 5 y}{4} - 6 y = - 7]

Simplify

[\frac{95 - 49 y}{4} = - 7]

Isolate

y

for

\frac{95 - 49 y}{4} = - 7 : y = \frac{123}{49}

For

x = \frac{19 - 5 y}{4}

Substitute

y = \frac{123}{49}

x = \frac{19 - 5 \cdot \frac{123}{49}}{4}

\frac{19 - 5 \cdot \frac{123}{49}}{4} = \frac{79}{49}

x = \frac{79}{49}

The solutions to the system of equations are:

x = \frac{79}{49}, y = \frac{123}{49}

3 x^{5} y = 29, 5 x^{5} y = 35

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

4 x + 15 y = 72, 2 x - 3 y = - 6

x + 5 y = 3, 3 x + 10 y = 1

10 x + 8 y = 10, 10 x + 12 = 12

What is 4x+5y=19,5x-6y=-7 ?
The solution to 4x+5y=19,5x-6y=-7 is x= 79/49 ,y= 123/49