What is 5x-6y=20,4x-3 y/4 x-3y=23 ?

The solution to 5x-6y=20,4x-3 y/4 x-3y=23 is

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5x-6y=20,4x-3 y/4 x-3y=23

5 x - 6 y = 20, 4 x - 3 \frac{y}{4} x - 3 y = 23

x = \frac{16}{5} - i \frac{2 66}{5}, x = \frac{16}{5} + i \frac{2 66}{5}, y = - \frac{2}{3} - i \frac{22}{3} y = - \frac{2}{3} + i \frac{22}{3}

Solution steps

[5 x - 6 y = 20 4 x - 3 \cdot \frac{y}{4} x - 3 y = 23]

Isolate

x

for

5 x - 6 y = 20 : x = \frac{20 + 6 y}{5}

Plug the solutions

x = \frac{20 + 6 y}{5}

into

4 x - 3 \frac{y}{4} x - 3 y = 23

For

4 x - 3 \frac{y}{4} x - 3 y = 23

, subsitute

x

with

\frac{20 + 6 y}{5} : y = - \frac{2}{3} - i \frac{22}{3}, y = - \frac{2}{3} + i \frac{22}{3}

Plug the solutions

y = - \frac{2}{3} - i \frac{22}{3}, y = - \frac{2}{3} + i \frac{22}{3}

into

5 x - 6 y = 20

For

5 x - 6 y = 20

, subsitute

y

with

- \frac{2}{3} - i \frac{22}{3} : x = \frac{16}{5} - i \frac{2 66}{5}

For

5 x - 6 y = 20

, subsitute

y

with

- \frac{2}{3} + i \frac{22}{3} : x = \frac{16}{5} + i \frac{2 66}{5}

Verify solutions by plugging them into the original equations

Therefore, the final solutions for

5 x - 6 y = 20, 4 x - 3 \frac{y}{4} x - 3 y = 23

are

x = \frac{16}{5} - i \frac{2 66}{5}, x = \frac{16}{5} + i \frac{2 66}{5}, y = - \frac{2}{3} - i \frac{22}{3} y = - \frac{2}{3} + i \frac{22}{3}

x + y = 8, x y = \frac{25}{9}

p = - 20, 0 + \frac{1}{4} q^{2} p = 1000 - \frac{1}{2} q^{2}

2^{x} + 2^{y} = 40, 2^{x + y} = 256

a = \frac{2}{3} b, c = 12

4 x^{2} - 9 (y + 1)^{2} = 36, 2 x + 3 y = - 5

What is 5x-6y=20,4x-3 y/4 x-3y=23 ?
The solution to 5x-6y=20,4x-3 y/4 x-3y=23 is