What is 5x+2y=10,3x+4y=15 ?

The solution to 5x+2y=10,3x+4y=15 is x= 5/7 ,y= 45/14

Popular >

5x+2y=10,3x+4y=15

5 x + 2 y = 10, 3 x + 4 y = 15

x = \frac{5}{7}, y = \frac{45}{14}

Solution steps

[5 x + 2 y = 10 3 x + 4 y = 15]

Isolate

x

for

5 x + 2 y = 10 : x = \frac{10 - 2 y}{5}

Substitute

x = \frac{10 - 2 y}{5}

[3 \cdot \frac{10 - 2 y}{5} + 4 y = 15]

Simplify

[\frac{30 + 14 y}{5} = 15]

Isolate

y

for

\frac{30 + 14 y}{5} = 15 : y = \frac{45}{14}

For

x = \frac{10 - 2 y}{5}

Substitute

y = \frac{45}{14}

x = \frac{10 - 2 \cdot \frac{45}{14}}{5}

\frac{10 - 2 \cdot \frac{45}{14}}{5} = \frac{5}{7}

x = \frac{5}{7}

The solutions to the system of equations are:

x = \frac{5}{7}, y = \frac{45}{14}

\frac{( x + 1 )}{( y + 1 )} = 2, \frac{( 2 x + 1 )}{( 2 y + 1 )} = \frac{1}{3}

(e) 5 x + 3 y = 11, 4 x - y = 2

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

19 x - 17 y = 55, 17 x - 19 y = 53

4 x - y = 10, 5 x - 2 y = 8

What is 5x+2y=10,3x+4y=15 ?
The solution to 5x+2y=10,3x+4y=15 is x= 5/7 ,y= 45/14