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

The solution to -x+2y=4,-2x-4y=3 is x=-11/4 ,y= 5/8

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

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

x = - \frac{11}{4}, y = \frac{5}{8}

Solution steps

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

Isolate

x

for

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

Substitute

x = - 4 + 2 y

[- 2 (- 4 + 2 y) - 4 y = 3]

Simplify

[8 - 8 y = 3]

Isolate

y

for

8 - 8 y = 3 : y = \frac{5}{8}

For

x = - 4 + 2 y

Substitute

y = \frac{5}{8}

x = - 4 + 2 \cdot \frac{5}{8}

- 4 + 2 \cdot \frac{5}{8} = - \frac{11}{4}

x = - \frac{11}{4}

The solutions to the system of equations are:

x = - \frac{11}{4}, y = \frac{5}{8}

3 x = 3, 46 = x + 108

- 6 x + 3 y = 1, 8 - 5 x - 2 y = - 3

3 x + 6 y = 39, 0 x + 3 y = 1300

(a) x + 2 y + 3 z = 4, - x + 4 y - 5 z = - 2 x, 2 x - 3 y + 4 z = 27

7 x - 4 y = 1, 7 x - 2 y = 53