en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3x+4y=84,5x+3y=96

Solution

3 x + 4 y = 84, 5 x + 3 y = 96

Solution

x = 12, y = 12

Solution steps

[3 x + 4 y = 84 5 x + 3 y = 96]

Isolate

x

for

3 x + 4 y = 84 : x = \frac{84 - 4 y}{3}

Substitute

x = \frac{84 - 4 y}{3}

[5 \cdot \frac{84 - 4 y}{3} + 3 y = 96]

Simplify

[\frac{420 - 11 y}{3} = 96]

Isolate

y

for

\frac{420 - 11 y}{3} = 96 : y = 12

For

x = \frac{84 - 4 y}{3}

Substitute

y = 12

x = \frac{84 - 4 \cdot 12}{3}

\frac{84 - 4 \cdot 12}{3} = 12

x = 12

The solutions to the system of equations are:

x = 12, y = 12

Popular Examples

2x+3y=-8,3x-y=-10

2 x + 3 y = - 8, 3 x - y = - 10

2u+5v+1=0,u-2v+9=0

2 u + 5 v + 1 = 0, u - 2 v + 9 = 0

x+y+3z=1,2x+y+2z=3,3x+2y+5z=3

x + y + 3 z = 1, 2 x + y + 2 z = 3, 3 x + 2 y + 5 z = 3

35x-30y+12=0,30x+35y-10=0

35 x - 30 y + 12 = 0, 30 x + 35 y - 10 = 0

3x-4y+24=0,x+y-13=0

3 x - 4 y + 24 = 0, x + y - 13 = 0

Frequently Asked Questions (FAQ)

What is 3x+4y=84,5x+3y=96 ?
The solution to 3x+4y=84,5x+3y=96 is x=12,y=12