What is y=-4x+16,-3x+8y=2 ?

The solution to y=-4x+16,-3x+8y=2 is x= 18/5 ,y= 8/5

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y=-4x+16,-3x+8y=2

y = - 4 x + 16, - 3 x + 8 y = 2

x = \frac{18}{5}, y = \frac{8}{5}

Solution steps

[y = - 4 x + 16 - 3 x + 8 y = 2]

Substitute

y = - 4 x + 16

[- 3 x + 8 (- 4 x + 16) = 2]

Simplify

[- 35 x + 128 = 2]

Isolate

x

for

- 35 x + 128 = 2 : x = \frac{18}{5}

For

y = - 4 x + 16

Substitute

x = \frac{18}{5}

y = - 4 \cdot \frac{18}{5} + 16

- 4 \cdot \frac{18}{5} + 16 = \frac{8}{5}

y = \frac{8}{5}

The solutions to the system of equations are:

x = \frac{18}{5}, y = \frac{8}{5}

2 x + y = 5, 3 x + 2 y = 6

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

4 a = 5, b + 52 a = 3 b + 2

2 x + 3 y = 8, x - 2 y = - 3

x - 3 y = 2, 5 x + 9 y = 3

What is y=-4x+16,-3x+8y=2 ?
The solution to y=-4x+16,-3x+8y=2 is x= 18/5 ,y= 8/5