What is 4x+5y=21,4x+8y=-8 ?

The solution to 4x+5y=21,4x+8y=-8 is x= 52/3 ,y=-29/3

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4x+5y=21,4x+8y=-8

4 x + 5 y = 21, 4 x + 8 y = - 8

x = \frac{52}{3}, y = - \frac{29}{3}

Solution steps

[4 x + 5 y = 21 4 x + 8 y = - 8]

Isolate

x

for

4 x + 5 y = 21 : x = \frac{21 - 5 y}{4}

Substitute

x = \frac{21 - 5 y}{4}

[4 \cdot \frac{21 - 5 y}{4} + 8 y = - 8]

Simplify

[21 + 3 y = - 8]

Isolate

y

for

21 + 3 y = - 8 : y = - \frac{29}{3}

For

x = \frac{21 - 5 y}{4}

Substitute

y = - \frac{29}{3}

x = \frac{21 - 5 ( - \frac{29}{3} )}{4}

\frac{21 - 5 ( - \frac{29}{3} )}{4} = \frac{52}{3}

x = \frac{52}{3}

The solutions to the system of equations are:

x = \frac{52}{3}, y = - \frac{29}{3}

3 x + 2 y = 16, 4 x - 5 y = 6

16 (3 x - 5) = 10, (4 x - 8) = 40

10 x + y + z = 1, 2 x + 10 y + z = 1, 2 x + y + 10 z = 12

3 x + y = 1, 5 x - y = - 9

5 x + 2 y = - 34, 4 x - 3 y = - 41

What is 4x+5y=21,4x+8y=-8 ?
The solution to 4x+5y=21,4x+8y=-8 is x= 52/3 ,y=-29/3