What is x+y-4=2,x-3y+6=3x-4y+7 ?

The solution to x+y-4=2,x-3y+6=3x-4y+7 is x= 5/3 ,y= 13/3

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x+y-4=2,x-3y+6=3x-4y+7

x + y - 4 = 2, x - 3 y + 6 = 3 x - 4 y + 7

x = \frac{5}{3}, y = \frac{13}{3}

Solution steps

[x + y - 4 = 2 x - 3 y + 6 = 3 x - 4 y + 7]

Isolate

x

for

x + y - 4 = 2 : x = - y + 6

Substitute

x = - y + 6

[- y + 6 - 3 y + 6 = 3 (- y + 6) - 4 y + 7]

Simplify

[- 4 y + 12 = - 7 y + 25]

Isolate

y

for

- 4 y + 12 = - 7 y + 25 : y = \frac{13}{3}

For

x = - y + 6

Substitute

y = \frac{13}{3}

x = - \frac{13}{3} + 6

- \frac{13}{3} + 6 = \frac{5}{3}

x = \frac{5}{3}

The solutions to the system of equations are:

x = \frac{5}{3}, y = \frac{13}{3}

99 x + 101 y = 49, 9101 x + 99 y = 501

5 m - 3 n = 1, 9 m - 6 n = - 7

2 x = 3 y - 14, 2 y = x + 8

x + 2 y = 17, x - 2 y = - 3

5 x + 7 y = 17, 3 x - 7 y = 10

What is x+y-4=2,x-3y+6=3x-4y+7 ?
The solution to x+y-4=2,x-3y+6=3x-4y+7 is x= 5/3 ,y= 13/3