What is (2x-3y)/4 =3,5x=2y+7 ?

The solution to (2x-3y)/4 =3,5x=2y+7 is x=-3/11 ,y=-46/11

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(2x-3y)/4 =3,5x=2y+7

\frac{2 x - 3 y}{4} = 3, 5 x = 2 y + 7

x = - \frac{3}{11}, y = - \frac{46}{11}

Solution steps

[\frac{2 x - 3 y}{4} = 3 5 x = 2 y + 7]

Isolate

x

for

\frac{2 x - 3 y}{4} = 3 : x = \frac{12 + 3 y}{2}

Substitute

x = \frac{12 + 3 y}{2}

[5 \cdot \frac{12 + 3 y}{2} = 2 y + 7]

Simplify

[\frac{5 ( 12 + 3 y )}{2} = 2 y + 7]

Isolate

y

for

\frac{5 ( 12 + 3 y )}{2} = 2 y + 7 : y = - \frac{46}{11}

For

x = \frac{12 + 3 y}{2}

Substitute

y = - \frac{46}{11}

x = \frac{12 + 3 ( - \frac{46}{11} )}{2}

\frac{12 + 3 ( - \frac{46}{11} )}{2} = - \frac{3}{11}

x = - \frac{3}{11}

The solutions to the system of equations are:

x = - \frac{3}{11}, y = - \frac{46}{11}

3 x + 2 y = 7, x + 3 y = 0

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

x - y = 2, 5 x + y = 25

x + y + z = 1, 2 x + 3 y + 6 z = 4, 4 x - 3 y - 12 z = 8

- 5 x + 4 y = - 3, 8 x + 3 y = - 3

What is (2x-3y)/4 =3,5x=2y+7 ?
The solution to (2x-3y)/4 =3,5x=2y+7 is x=-3/11 ,y=-46/11