What is 12x+16y=18,14x+18y=20 ?

The solution to 12x+16y=18,14x+18y=20 is x=-1/2 ,y= 3/2

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12x+16y=18,14x+18y=20

12 x + 16 y = 18, 14 x + 18 y = 20

x = - \frac{1}{2}, y = \frac{3}{2}

Solution steps

[12 x + 16 y = 18 14 x + 18 y = 20]

Isolate

x

for

12 x + 16 y = 18 : x = \frac{9 - 8 y}{6}

Substitute

x = \frac{9 - 8 y}{6}

[14 \cdot \frac{9 - 8 y}{6} + 18 y = 20]

Simplify

[\frac{- 2 y + 63}{3} = 20]

Isolate

y

for

\frac{- 2 y + 63}{3} = 20 : y = \frac{3}{2}

For

x = \frac{9 - 8 y}{6}

Substitute

y = \frac{3}{2}

x = \frac{9 - 8 \cdot \frac{3}{2}}{6}

\frac{9 - 8 \cdot \frac{3}{2}}{6} = - \frac{1}{2}

x = - \frac{1}{2}

The solutions to the system of equations are:

x = - \frac{1}{2}, y = \frac{3}{2}

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

72 x + 3 y = 41, 1 - 4 x - 1 = 18

7.2 m = 1, 5.7 r = 4, 2 n = 50, x = 2

2 x + 2 y = 16, 4 x + 4 y = 32

3 x - 4 y - 7 = 0, 6 x - 8 y + 16 = 0

What is 12x+16y=18,14x+18y=20 ?
The solution to 12x+16y=18,14x+18y=20 is x=-1/2 ,y= 3/2