What is 7x-15y=2,x+2y=3 ?

The solution to 7x-15y=2,x+2y=3 is x= 49/29 ,y= 19/29

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7x-15y=2,x+2y=3

7 x - 15 y = 2, x + 2 y = 3

x = \frac{49}{29}, y = \frac{19}{29}

Solution steps

[7 x - 15 y = 2 x + 2 y = 3]

Isolate

x

for

7 x - 15 y = 2 : x = \frac{2 + 15 y}{7}

Substitute

x = \frac{2 + 15 y}{7}

[\frac{2 + 15 y}{7} + 2 y = 3]

Simplify

[\frac{2 + 29 y}{7} = 3]

Isolate

y

for

\frac{2 + 29 y}{7} = 3 : y = \frac{19}{29}

For

x = \frac{2 + 15 y}{7}

Substitute

y = \frac{19}{29}

x = \frac{2 + 15 \cdot \frac{19}{29}}{7}

\frac{2 + 15 \cdot \frac{19}{29}}{7} = \frac{49}{29}

x = \frac{49}{29}

The solutions to the system of equations are:

x = \frac{49}{29}, y = \frac{19}{29}

5 x - 3 y = 8, 3 x + y = 2

\frac{3.56}{2} = 31.56 m, h = 20

x - y = 5, x + y = 7

5 x - 3 y = 23, 2 x + y = 7

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