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

The solution to 5x+3y=21,x+2y=12 is x= 6/7 ,y= 39/7

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

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

x = \frac{6}{7}, y = \frac{39}{7}

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 + 7 y}{5} = 12]

Isolate

y

for

\frac{21 + 7 y}{5} = 12 : y = \frac{39}{7}

For

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

Substitute

y = \frac{39}{7}

x = \frac{21 - 3 \cdot \frac{39}{7}}{5}

\frac{21 - 3 \cdot \frac{39}{7}}{5} = \frac{6}{7}

x = \frac{6}{7}

The solutions to the system of equations are:

x = \frac{6}{7}, y = \frac{39}{7}

2 \frac{x}{a} + \frac{y}{b} = 2, \frac{x}{a} - \frac{y}{b} = 4

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

\frac{( x + 3 )}{2} - \frac{( y - 1 )}{3} = 1, \frac{( x + y )}{5} = 1

f (y, x, h) y = 2, 3 x - 53 h y = - 1, 4 x + 23 j y = 23 x - 113

2 x + 4 y = 34, 5 x + 4 y = 37