What is (2)x+7y=10,3x-2y=7 ?

The solution to (2)x+7y=10,3x-2y=7 is x= 69/25 ,y= 16/25

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(2)x+7y=10,3x-2y=7

(2) x + 7 y = 10, 3 x - 2 y = 7

x = \frac{69}{25}, y = \frac{16}{25}

Solution steps

[(2) x + 7 y = 10 3 x - 2 y = 7]

Isolate

x

for

(2) x + 7 y = 10 : x = \frac{10 - 7 y}{2}

Substitute

x = \frac{10 - 7 y}{2}

[3 \cdot \frac{10 - 7 y}{2} - 2 y = 7]

Simplify

[\frac{30 - 25 y}{2} = 7]

Isolate

y

for

\frac{30 - 25 y}{2} = 7 : y = \frac{16}{25}

For

x = \frac{10 - 7 y}{2}

Substitute

y = \frac{16}{25}

x = \frac{10 - 7 \cdot \frac{16}{25}}{2}

\frac{10 - 7 \cdot \frac{16}{25}}{2} = \frac{69}{25}

x = \frac{69}{25}

The solutions to the system of equations are:

x = \frac{69}{25}, y = \frac{16}{25}

x + 2 y = 7, x + y = 4

11 x + 15 y = - 23, 10 x + 2 y = 20

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

3 x - 2 y = 12, 4 x + 3 y = 5, 2 x - y = 2

y = 2 (x + 10), 3 x + 2 y = 19

What is (2)x+7y=10,3x-2y=7 ?
The solution to (2)x+7y=10,3x-2y=7 is x= 69/25 ,y= 16/25