What is 2r+3s=1,4r-s=12 ?

The solution to 2r+3s=1,4r-s=12 is r= 37/14 ,s=-10/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2r+3s=1,4r-s=12

2 r + 3 s = 1, 4 r - s = 12

r = \frac{37}{14}, s = - \frac{10}{7}

Solution steps

[2 r + 3 s = 1 4 r - s = 12]

Isolate

r

for

2 r + 3 s = 1 : r = \frac{1 - 3 s}{2}

Substitute

r = \frac{1 - 3 s}{2}

[4 \cdot \frac{1 - 3 s}{2} - s = 12]

Simplify

[- 7 s + 2 = 12]

Isolate

s

for

- 7 s + 2 = 12 : s = - \frac{10}{7}

For

r = \frac{1 - 3 s}{2}

Substitute

s = - \frac{10}{7}

r = \frac{1 - 3 ( - \frac{10}{7} )}{2}

\frac{1 - 3 ( - \frac{10}{7} )}{2} = \frac{37}{14}

r = \frac{37}{14}

The solutions to the system of equations are:

r = \frac{37}{14}, s = - \frac{10}{7}

2 x + 3 y + 5 = 5, x - 3 y + 9 = 0

2 x + 3 y = 795, 3 x + 5 y = 1300

5 x + 2 y = 11, 2 x - 3 y = 12

2 x - y = 12, x - 3 y = 11

- 2 x - 3 y = 7, - 13 x + 20 y = 322