en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5x-2y=16,2x-3y=13

Solution

5 x - 2 y = 16, 2 x - 3 y = 13

Solution

x = 2, y = - 3

Solution steps

[5 x - 2 y = 16 2 x - 3 y = 13]

Isolate

x

for

5 x - 2 y = 16 : x = \frac{16 + 2 y}{5}

Substitute

x = \frac{16 + 2 y}{5}

[2 \cdot \frac{16 + 2 y}{5} - 3 y = 13]

Simplify

[\frac{32 - 11 y}{5} = 13]

Isolate

y

for

\frac{32 - 11 y}{5} = 13 : y = - 3

For

x = \frac{16 + 2 y}{5}

Substitute

y = - 3

x = \frac{16 + 2 ( - 3 )}{5}

\frac{16 + 2 ( - 3 )}{5} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = - 3

Popular Examples

5x-7y-3=2,x-4y+5=0

5 x - 7 y - 3 = 2, x - 4 y + 5 = 0

4x-y=9,2x-3y=-23

4 x - y = 9, 2 x - 3 y = - 23

2 x - y = 2, y - x = 2

4x-8y=-14,2x+4y=-7

4 x - 8 y = - 14, 2 x + 4 y = - 7

2 x + y = 1, 5 x - y = 12

Frequently Asked Questions (FAQ)

What is 5x-2y=16,2x-3y=13 ?
The solution to 5x-2y=16,2x-3y=13 is x=2,y=-3