What is 16x+5y=8,22x+2y=-28 ?

The solution to 16x+5y=8,22x+2y=-28 is x=-2,y=8

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16x+5y=8,22x+2y=-28

16 x + 5 y = 8, 22 x + 2 y = - 28

x = - 2, y = 8

Solution steps

[16 x + 5 y = 8 22 x + 2 y = - 28]

Isolate

x

for

16 x + 5 y = 8 : x = \frac{8 - 5 y}{16}

Substitute

x = \frac{8 - 5 y}{16}

[22 \cdot \frac{8 - 5 y}{16} + 2 y = - 28]

Simplify

[\frac{- 39 y + 88}{8} = - 28]

Isolate

y

for

\frac{- 39 y + 88}{8} = - 28 : y = 8

For

x = \frac{8 - 5 y}{16}

Substitute

y = 8

x = \frac{8 - 5 \cdot 8}{16}

\frac{8 - 5 \cdot 8}{16} = - 2

x = - 2

The solutions to the system of equations are:

x = - 2, y = 8

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

x - 3 y = 5, 2 x + 2 y = 4

x + y + 3 z = 10, x - y - z = - 2, 2 x + 3 y + 4 z = 4

3 x - 2 y = 7, x + 2 y = 5

3 x - \frac{2}{y} = 5, x + \frac{4}{y} = 4