What is 49x+51y=499,51x+49y=501 ?

The solution to 49x+51y=499,51x+49y=501 is x= 11/2 ,y= 9/2

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49x+51y=499,51x+49y=501

49 x + 51 y = 499, 51 x + 49 y = 501

x = \frac{11}{2}, y = \frac{9}{2}

Solution steps

[49 x + 51 y = 499 51 x + 49 y = 501]

Isolate

x

for

49 x + 51 y = 499 : x = \frac{499 - 51 y}{49}

Substitute

x = \frac{499 - 51 y}{49}

[51 \cdot \frac{499 - 51 y}{49} + 49 y = 501]

Simplify

[\frac{25449 - 200 y}{49} = 501]

Isolate

y

for

\frac{25449 - 200 y}{49} = 501 : y = \frac{9}{2}

For

x = \frac{499 - 51 y}{49}

Substitute

y = \frac{9}{2}

x = \frac{499 - 51 \cdot \frac{9}{2}}{49}

\frac{499 - 51 \cdot \frac{9}{2}}{49} = \frac{11}{2}

x = \frac{11}{2}

The solutions to the system of equations are:

x = \frac{11}{2}, y = \frac{9}{2}

x + y = 4, x - y = 2

- x + 2 y = - 3, 5 x - 2 y = - 1

3 x - 4 y = - 7, 5 x - 2 y = 0

a + 2 b - c = - 3, 3 a + b + c = 4, a - b + 2 c = 6

x + 7 - 6 x - 2 y = - 4, y = 2

What is 49x+51y=499,51x+49y=501 ?
The solution to 49x+51y=499,51x+49y=501 is x= 11/2 ,y= 9/2