What is 2x-9y=1,4x=-6y+7 ?

The solution to 2x-9y=1,4x=-6y+7 is x= 23/16 ,y= 5/24

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2x-9y=1,4x=-6y+7

2 x - 9 y = 1, 4 x = - 6 y + 7

x = \frac{23}{16}, y = \frac{5}{24}

Solution steps

[2 x - 9 y = 1 4 x = - 6 y + 7]

Isolate

x

for

2 x - 9 y = 1 : x = \frac{1 + 9 y}{2}

Substitute

x = \frac{1 + 9 y}{2}

[4 \cdot \frac{1 + 9 y}{2} = - 6 y + 7]

Simplify

[2 (9 y + 1) = - 6 y + 7]

Isolate

y

for

2 (9 y + 1) = - 6 y + 7 : y = \frac{5}{24}

For

x = \frac{1 + 9 y}{2}

Substitute

y = \frac{5}{24}

x = \frac{1 + 9 \cdot \frac{5}{24}}{2}

\frac{1 + 9 \cdot \frac{5}{24}}{2} = \frac{23}{16}

x = \frac{23}{16}

The solutions to the system of equations are:

x = \frac{23}{16}, y = \frac{5}{24}

2 x - 9 y = 9, 5 x + 2 y = 27

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

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

- 3 x + 5 y = 5, 3 x + 2 y = 23

x + y = 25, 0 x + y = 400

What is 2x-9y=1,4x=-6y+7 ?
The solution to 2x-9y=1,4x=-6y+7 is x= 23/16 ,y= 5/24