What is 3x+5y=12,5x+2y=10 ?

The solution to 3x+5y=12,5x+2y=10 is x= 26/19 ,y= 30/19

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3x+5y=12,5x+2y=10

3 x + 5 y = 12, 5 x + 2 y = 10

x = \frac{26}{19}, y = \frac{30}{19}

Solution steps

[3 x + 5 y = 12 5 x + 2 y = 10]

Isolate

x

for

3 x + 5 y = 12 : x = \frac{12 - 5 y}{3}

Substitute

x = \frac{12 - 5 y}{3}

[5 \cdot \frac{12 - 5 y}{3} + 2 y = 10]

Simplify

[\frac{60 - 19 y}{3} = 10]

Isolate

y

for

\frac{60 - 19 y}{3} = 10 : y = \frac{30}{19}

For

x = \frac{12 - 5 y}{3}

Substitute

y = \frac{30}{19}

x = \frac{12 - 5 \cdot \frac{30}{19}}{3}

\frac{12 - 5 \cdot \frac{30}{19}}{3} = \frac{26}{19}

x = \frac{26}{19}

The solutions to the system of equations are:

x = \frac{26}{19}, y = \frac{30}{19}

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

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

What is 3x+5y=12,5x+2y=10 ?
The solution to 3x+5y=12,5x+2y=10 is x= 26/19 ,y= 30/19