What is 3x+y=2,5x-y=-9 ?

The solution to 3x+y=2,5x-y=-9 is x=-7/8 ,y= 37/8

Popular >

3x+y=2,5x-y=-9

3 x + y = 2, 5 x - y = - 9

x = - \frac{7}{8}, y = \frac{37}{8}

Solution steps

[3 x + y = 2 5 x - y = - 9]

Isolate

x

for

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

Substitute

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

[5 \cdot \frac{2 - y}{3} - y = - 9]

Simplify

[\frac{10 - 8 y}{3} = - 9]

Isolate

y

for

\frac{10 - 8 y}{3} = - 9 : y = \frac{37}{8}

For

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

Substitute

y = \frac{37}{8}

x = \frac{2 - \frac{37}{8}}{3}

\frac{2 - \frac{37}{8}}{3} = - \frac{7}{8}

x = - \frac{7}{8}

The solutions to the system of equations are:

x = - \frac{7}{8}, y = \frac{37}{8}

3 a + 2 b = 54, 5 a + 4 b = 92

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

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