What is 5x+3y=21,-x+2y=12 ?

The solution to 5x+3y=21,-x+2y=12 is x= 6/13 ,y= 81/13

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5x+3y=21,-x+2y=12

5 x + 3 y = 21, - x + 2 y = 12

x = \frac{6}{13}, y = \frac{81}{13}

Solution steps

[5 x + 3 y = 21 - x + 2 y = 12]

Isolate

x

for

5 x + 3 y = 21 : x = \frac{21 - 3 y}{5}

Substitute

x = \frac{21 - 3 y}{5}

[- \frac{21 - 3 y}{5} + 2 y = 12]

Simplify

[\frac{- 21 + 13 y}{5} = 12]

Isolate

y

for

\frac{- 21 + 13 y}{5} = 12 : y = \frac{81}{13}

For

x = \frac{21 - 3 y}{5}

Substitute

y = \frac{81}{13}

x = \frac{21 - 3 \cdot \frac{81}{13}}{5}

\frac{21 - 3 \cdot \frac{81}{13}}{5} = \frac{6}{13}

x = \frac{6}{13}

The solutions to the system of equations are:

x = \frac{6}{13}, y = \frac{81}{13}

- 2 + \frac{y}{2} = 2, x + 2 y = 8

\frac{3}{5} \cdot x - \frac{2}{3} \cdot y + 1 = 0, \frac{1}{3} \cdot y + \frac{2}{5} \cdot x = 4

4 x - 2 y = - 4, 4 x + 3 y = 16

3 x + 2 y = 21, 7 x + 3 y = 44

∣ x ∣ - 7 = - 6, x = 1

What is 5x+3y=21,-x+2y=12 ?
The solution to 5x+3y=21,-x+2y=12 is x= 6/13 ,y= 81/13