What is 3x-5y=4,2y+7=9x ?

The solution to 3x-5y=4,2y+7=9x is x= 9/13 ,y=-5/13

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3x-5y=4,2y+7=9x

3 x - 5 y = 4, 2 y + 7 = 9 x

x = \frac{9}{13}, y = - \frac{5}{13}

Solution steps

[3 x - 5 y = 4 2 y + 7 = 9 x]

Isolate

x

for

3 x - 5 y = 4 : x = \frac{4 + 5 y}{3}

Substitute

x = \frac{4 + 5 y}{3}

[2 y + 7 = 9 \cdot \frac{4 + 5 y}{3}]

Simplify

[2 y + 7 = 3 (5 y + 4)]

Isolate

y

for

2 y + 7 = 3 (5 y + 4) : y = - \frac{5}{13}

For

x = \frac{4 + 5 y}{3}

Substitute

y = - \frac{5}{13}

x = \frac{4 + 5 ( - \frac{5}{13} )}{3}

\frac{4 + 5 ( - \frac{5}{13} )}{3} = \frac{9}{13}

x = \frac{9}{13}

The solutions to the system of equations are:

x = \frac{9}{13}, y = - \frac{5}{13}

a + b = 8, a - b = 2

x^{2} + 4 x - 5 = 0, x = 1 - 1

3 x + 2 y = 3, - x + 5 y = 16

5 x + 3 y = - 11, 2 x + 4 y = - 10

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