What is 7x+3y=10,5x-2y=2 ?

The solution to 7x+3y=10,5x-2y=2 is x= 26/29 ,y= 36/29

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7x+3y=10,5x-2y=2

7 x + 3 y = 10, 5 x - 2 y = 2

x = \frac{26}{29}, y = \frac{36}{29}

Solution steps

[7 x + 3 y = 10 5 x - 2 y = 2]

Isolate

x

for

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

Substitute

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

[5 \cdot \frac{10 - 3 y}{7} - 2 y = 2]

Simplify

[\frac{50 - 29 y}{7} = 2]

Isolate

y

for

\frac{50 - 29 y}{7} = 2 : y = \frac{36}{29}

For

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

Substitute

y = \frac{36}{29}

x = \frac{10 - 3 \cdot \frac{36}{29}}{7}

\frac{10 - 3 \cdot \frac{36}{29}}{7} = \frac{26}{29}

x = \frac{26}{29}

The solutions to the system of equations are:

x = \frac{26}{29}, y = \frac{36}{29}

3 x + 4 y = 10, 2 x + y = 0

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

x + j = 7, - x + 1 = 1

3 x + 4 y = 10, 2 y + 3 y = 7

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

What is 7x+3y=10,5x-2y=2 ?
The solution to 7x+3y=10,5x-2y=2 is x= 26/29 ,y= 36/29