en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

x = \frac{11}{4}, y = - \frac{3}{4}

Solution steps

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

Isolate

x

for

x - 3 y = 5 : x = 5 + 3 y

Substitute

x = 5 + 3 y

[5 + 3 y + y = 2]

Simplify

[5 + 4 y = 2]

Isolate

y

for

5 + 4 y = 2 : y = - \frac{3}{4}

For

x = 5 + 3 y

Substitute

y = - \frac{3}{4}

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

5 + 3 (- \frac{3}{4}) = \frac{11}{4}

x = \frac{11}{4}

The solutions to the system of equations are:

x = \frac{11}{4}, y = - \frac{3}{4}

Popular Examples

6x-4y=-12,8x-3y=-2

6 x - 4 y = - 12, 8 x - 3 y = - 2

3x+5y=15,2x-3y=-9

3 x + 5 y = 15, 2 x - 3 y = - 9

s-7t+42=0,s-3t=6

s - 7 t + 42 = 0, s - 3 t = 6

x + y = 5, x - y = 1

4x+3y=17,6x+5y=27

4 x + 3 y = 17, 6 x + 5 y = 27

Frequently Asked Questions (FAQ)

What is x-3y=5,x+y=2 ?
The solution to x-3y=5,x+y=2 is x= 11/4 ,y=-3/4