What is 5x+6y=12,3x+5y=21 ?

The solution to 5x+6y=12,3x+5y=21 is x=-66/7 ,y= 69/7

Popular >

5x+6y=12,3x+5y=21

5 x + 6 y = 12, 3 x + 5 y = 21

x = - \frac{66}{7}, y = \frac{69}{7}

Solution steps

[5 x + 6 y = 12 3 x + 5 y = 21]

Isolate

x

for

5 x + 6 y = 12 : x = \frac{12 - 6 y}{5}

Substitute

x = \frac{12 - 6 y}{5}

[3 \cdot \frac{12 - 6 y}{5} + 5 y = 21]

Simplify

[\frac{36 + 7 y}{5} = 21]

Isolate

y

for

\frac{36 + 7 y}{5} = 21 : y = \frac{69}{7}

For

x = \frac{12 - 6 y}{5}

Substitute

y = \frac{69}{7}

x = \frac{12 - 6 \cdot \frac{69}{7}}{5}

\frac{12 - 6 \cdot \frac{69}{7}}{5} = - \frac{66}{7}

x = - \frac{66}{7}

The solutions to the system of equations are:

x = - \frac{66}{7}, y = \frac{69}{7}

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

\frac{2}{x} + \frac{3}{y} = \frac{9}{( x y )}, \frac{4}{x} + \frac{9}{y} = \frac{21}{( x y )}

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

2 x - y = - 1, x - y = - 2

y = 8, x = 0

What is 5x+6y=12,3x+5y=21 ?
The solution to 5x+6y=12,3x+5y=21 is x=-66/7 ,y= 69/7