What is 4x-5y=48,51x+49y=52 ?

The solution to 4x-5y=48,51x+49y=52 is x= 2612/451 ,y=-2240/451

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4x-5y=48,51x+49y=52

4 x - 5 y = 48, 51 x + 49 y = 52

x = \frac{2612}{451}, y = - \frac{2240}{451}

Solution steps

[4 x - 5 y = 48 51 x + 49 y = 52]

Isolate

x

for

4 x - 5 y = 48 : x = \frac{48 + 5 y}{4}

Substitute

x = \frac{48 + 5 y}{4}

[51 \cdot \frac{48 + 5 y}{4} + 49 y = 52]

Simplify

[\frac{2448 + 451 y}{4} = 52]

Isolate

y

for

\frac{2448 + 451 y}{4} = 52 : y = - \frac{2240}{451}

For

x = \frac{48 + 5 y}{4}

Substitute

y = - \frac{2240}{451}

x = \frac{48 + 5 ( - \frac{2240}{451} )}{4}

\frac{48 + 5 ( - \frac{2240}{451} )}{4} = \frac{2612}{451}

x = \frac{2612}{451}

The solutions to the system of equations are:

x = \frac{2612}{451}, y = - \frac{2240}{451}

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

2 x + y = 1, 3 x + 3 y = 14

x + \frac{2}{x} = 3, x = 0

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

2 x - 4 y - 2 z = - 14, 6 x + 3 y + 3 z = 3, x - 5 y + 8 z = 13

What is 4x-5y=48,51x+49y=52 ?
The solution to 4x-5y=48,51x+49y=52 is x= 2612/451 ,y=-2240/451