What is 2x+6y=9,3x-5y=4 ?

The solution to 2x+6y=9,3x-5y=4 is x= 69/28 ,y= 19/28

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2x+6y=9,3x-5y=4

2 x + 6 y = 9, 3 x - 5 y = 4

x = \frac{69}{28}, y = \frac{19}{28}

Solution steps

[2 x + 6 y = 9 3 x - 5 y = 4]

Isolate

x

for

2 x + 6 y = 9 : x = \frac{9 - 6 y}{2}

Substitute

x = \frac{9 - 6 y}{2}

[3 \cdot \frac{9 - 6 y}{2} - 5 y = 4]

Simplify

[\frac{27 - 28 y}{2} = 4]

Isolate

y

for

\frac{27 - 28 y}{2} = 4 : y = \frac{19}{28}

For

x = \frac{9 - 6 y}{2}

Substitute

y = \frac{19}{28}

x = \frac{9 - 6 \cdot \frac{19}{28}}{2}

\frac{9 - 6 \cdot \frac{19}{28}}{2} = \frac{69}{28}

x = \frac{69}{28}

The solutions to the system of equations are:

x = \frac{69}{28}, y = \frac{19}{28}

x + 4 y = 2, 1 y - 4 x = 21

6 x + 3 y = 15, 4 x - 9 y = - 34

3 x + 2 (y + 1) = 2, 4 x - 3 (y - 2) = 23

n (u) = 10, 0 n (a) = 4, 5 n (b) = 3, 4 n (a^{0} b) = 15

y + x = - 4, 2 y + 2 x = - 8