What is 2x+y=7,x-3y=16 ?

The solution to 2x+y=7,x-3y=16 is x= 37/7 ,y=-25/7

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2x+y=7,x-3y=16

2 x + y = 7, x - 3 y = 16

x = \frac{37}{7}, y = - \frac{25}{7}

Solution steps

[2 x + y = 7 x - 3 y = 16]

Isolate

x

for

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

Substitute

x = \frac{7 - y}{2}

[\frac{7 - y}{2} - 3 y = 16]

Simplify

[\frac{7 - 7 y}{2} = 16]

Isolate

y

for

\frac{7 - 7 y}{2} = 16 : y = - \frac{25}{7}

For

x = \frac{7 - y}{2}

Substitute

y = - \frac{25}{7}

x = \frac{7 - ( - \frac{25}{7} )}{2}

\frac{7 - ( - \frac{25}{7} )}{2} = \frac{37}{7}

x = \frac{37}{7}

The solutions to the system of equations are:

x = \frac{37}{7}, y = - \frac{25}{7}

3 x + 4 y = 17, 2 x - 5 y = 19

x - y = 9, 2 x + 3 y = 6

(r) \cdot 5 x + 2 y - 5 = 0, e (s) \cdot 2 x - 5 y + 9 = 0

24 x + 21 y = 12, 24 x - 12 y = 24

x - 3 y + 7 l^{2} = 3, x + y - 3 l^{3} = 4 x - y - 2, l^{1} = 5