What is 2x+y=19,2x-3y=-3 ?

The solution to 2x+y=19,2x-3y=-3 is x= 27/4 ,y= 11/2

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2x+y=19,2x-3y=-3

2 x + y = 19, 2 x - 3 y = - 3

x = \frac{27}{4}, y = \frac{11}{2}

Solution steps

[2 x + y = 19 2 x - 3 y = - 3]

Isolate

x

for

2 x + y = 19 : x = \frac{19 - y}{2}

Substitute

x = \frac{19 - y}{2}

[2 \cdot \frac{19 - y}{2} - 3 y = - 3]

Simplify

[19 - 4 y = - 3]

Isolate

y

for

19 - 4 y = - 3 : y = \frac{11}{2}

For

x = \frac{19 - y}{2}

Substitute

y = \frac{11}{2}

x = \frac{19 - \frac{11}{2}}{2}

\frac{19 - \frac{11}{2}}{2} = \frac{27}{4}

x = \frac{27}{4}

The solutions to the system of equations are:

x = \frac{27}{4}, y = \frac{11}{2}

3 x - 5 y - 6 = 2, x + 3 y - 6 = 0

2 x + 3 y = 32, 11 y - 9 x = 3

x - 4 y = - 5, 3 x - 8 y = 1

y = 2 x + 7, - 6 x - 2 y = - 4

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