What is 4x-3y=8,6x-y= 29/3 ?

The solution to 4x-3y=8,6x-y= 29/3 is x= 3/2 ,y=-2/3

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4x-3y=8,6x-y= 29/3

4 x - 3 y = 8, 6 x - y = \frac{29}{3}

x = \frac{3}{2}, y = - \frac{2}{3}

Solution steps

[4 x - 3 y = 8 6 x - y = \frac{29}{3}]

Isolate

x

for

4 x - 3 y = 8 : x = \frac{8 + 3 y}{4}

Substitute

x = \frac{8 + 3 y}{4}

[6 \cdot \frac{8 + 3 y}{4} - y = \frac{29}{3}]

Simplify

[\frac{7 y + 24}{2} = \frac{29}{3}]

Isolate

y

for

\frac{7 y + 24}{2} = \frac{29}{3} : y = - \frac{2}{3}

For

x = \frac{8 + 3 y}{4}

Substitute

y = - \frac{2}{3}

x = \frac{8 + 3 ( - \frac{2}{3} )}{4}

\frac{8 + 3 ( - \frac{2}{3} )}{4} = \frac{3}{2}

x = \frac{3}{2}

The solutions to the system of equations are:

x = \frac{3}{2}, y = - \frac{2}{3}

7 x + 4 y = 6, 4 x - 5 y = 69

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

10 x + 18 y = - 11, 16 x - 9 y = - 5

x - y = 3, 6 x + y = 90

x + 3 y = 52, 5 x - 2 y = 4

What is 4x-3y=8,6x-y= 29/3 ?
The solution to 4x-3y=8,6x-y= 29/3 is x= 3/2 ,y=-2/3