What is 7x+10y=3,6y=2x+9 ?

The solution to 7x+10y=3,6y=2x+9 is x=-36/31 ,y= 69/62

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7x+10y=3,6y=2x+9

7 x + 10 y = 3, 6 y = 2 x + 9

x = - \frac{36}{31}, y = \frac{69}{62}

Solution steps

[7 x + 10 y = 3 6 y = 2 x + 9]

Isolate

x

for

7 x + 10 y = 3 : x = \frac{3 - 10 y}{7}

Substitute

x = \frac{3 - 10 y}{7}

[6 y = 2 \cdot \frac{3 - 10 y}{7} + 9]

Simplify

[6 y = \frac{2 ( 3 - 10 y )}{7} + 9]

Isolate

y

for

6 y = \frac{2 ( 3 - 10 y )}{7} + 9 : y = \frac{69}{62}

For

x = \frac{3 - 10 y}{7}

Substitute

y = \frac{69}{62}

x = \frac{3 - 10 \cdot \frac{69}{62}}{7}

\frac{3 - 10 \cdot \frac{69}{62}}{7} = - \frac{36}{31}

x = - \frac{36}{31}

The solutions to the system of equations are:

x = - \frac{36}{31}, y = \frac{69}{62}

5 x + 6 y = 20, 3 x + 8 y = 34

x + y - z + t = 6, y + z = 1, z + 2 t = 6, 2 t = 8

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

1 - s = \frac{3}{5} \cdot t, \frac{2}{3} \cdot s = 1 - t

3 x + 2 y = - 1, 5 x + y = - 4

What is 7x+10y=3,6y=2x+9 ?
The solution to 7x+10y=3,6y=2x+9 is x=-36/31 ,y= 69/62