What is 2x+3y=7,6x-5y=11 ?

The solution to 2x+3y=7,6x-5y=11 is x= 17/7 ,y= 5/7

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2x+3y=7,6x-5y=11

2 x + 3 y = 7, 6 x - 5 y = 11

x = \frac{17}{7}, y = \frac{5}{7}

Solution steps

[2 x + 3 y = 7 6 x - 5 y = 11]

Isolate

x

for

2 x + 3 y = 7 : x = \frac{7 - 3 y}{2}

Substitute

x = \frac{7 - 3 y}{2}

[6 \cdot \frac{7 - 3 y}{2} - 5 y = 11]

Simplify

[- 14 y + 21 = 11]

Isolate

y

for

- 14 y + 21 = 11 : y = \frac{5}{7}

For

x = \frac{7 - 3 y}{2}

Substitute

y = \frac{5}{7}

x = \frac{7 - 3 \cdot \frac{5}{7}}{2}

\frac{7 - 3 \cdot \frac{5}{7}}{2} = \frac{17}{7}

x = \frac{17}{7}

The solutions to the system of equations are:

x = \frac{17}{7}, y = \frac{5}{7}

3 x + 2 y - z = 4, x + y + z = 6, 2 x - y + z = 3

a = - 12, b = - \frac{8}{11}, c = - \frac{7}{12}

2 \frac{x}{x} - 3 + \frac{1}{2} x = 3, x + \frac{9}{( x - 3 )} (2 x + 3) = 0

2 x - 5 y = 1, 6 - 3 x + 6 y = 21

3 x - y = 35, 2 x - 3 y = 70