What is 7x-8y+5=0,11x+9y-12=0 ?

The solution to 7x-8y+5=0,11x+9y-12=0 is x= 51/151 ,y= 139/151

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7x-8y+5=0,11x+9y-12=0

7 x - 8 y + 5 = 0, 11 x + 9 y - 12 = 0

x = \frac{51}{151}, y = \frac{139}{151}

Solution steps

[7 x - 8 y + 5 = 0 11 x + 9 y - 12 = 0]

Isolate

x

for

7 x - 8 y + 5 = 0 : x = \frac{8 y - 5}{7}

Substitute

x = \frac{8 y - 5}{7}

[11 \cdot \frac{8 y - 5}{7} + 9 y - 12 = 0]

Simplify

[\frac{151 y - 55}{7} - 12 = 0]

Isolate

y

for

\frac{151 y - 55}{7} - 12 = 0 : y = \frac{139}{151}

For

x = \frac{8 y - 5}{7}

Substitute

y = \frac{139}{151}

x = \frac{8 \cdot \frac{139}{151} - 5}{7}

\frac{8 \cdot \frac{139}{151} - 5}{7} = \frac{51}{151}

x = \frac{51}{151}

The solutions to the system of equations are:

x = \frac{51}{151}, y = \frac{139}{151}

4 b = 1, 5 c = 16, a = 1

m = - 3, n = 2

x + y = 2, x = 15 y - 8

3 x + 7 y = 27, 5 x + 2 y = 16

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

What is 7x-8y+5=0,11x+9y-12=0 ?
The solution to 7x-8y+5=0,11x+9y-12=0 is x= 51/151 ,y= 139/151