What is x+3y=12,2x-(-4)y=1 ?

The solution to x+3y=12,2x-(-4)y=1 is x=-45/2 ,y= 23/2

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x+3y=12,2x-(-4)y=1

x + 3 y = 12, 2 x - (- 4) y = 1

x = - \frac{45}{2}, y = \frac{23}{2}

Solution steps

[x + 3 y = 12 2 x - (- 4) y = 1]

Isolate

x

for

x + 3 y = 12 : x = 12 - 3 y

Substitute

x = 12 - 3 y

[2 (12 - 3 y) - (- 4) y = 1]

Simplify

[24 - 2 y = 1]

Isolate

y

for

24 - 2 y = 1 : y = \frac{23}{2}

For

x = 12 - 3 y

Substitute

y = \frac{23}{2}

x = 12 - 3 \cdot \frac{23}{2}

12 - 3 \cdot \frac{23}{2} = - \frac{45}{2}

x = - \frac{45}{2}

The solutions to the system of equations are:

x = - \frac{45}{2}, y = \frac{23}{2}

3 a - 2 b = 1, 8 - 2 a + 3 b = 17

2 x + 4 y = 4, x + y = 0

x - 4 y = 5, 5 x + 3 y = 3

(2) a = - 10, b = 10

3 h + 2 i = 8, 2 h + 5 i = - 2

What is x+3y=12,2x-(-4)y=1 ?
The solution to x+3y=12,2x-(-4)y=1 is x=-45/2 ,y= 23/2