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Popular >

3x+4y=17,4x-3y=6

Solution

3 x + 4 y = 17, 4 x - 3 y = 6

Solution

x = 3, y = 2

Solution steps

[3 x + 4 y = 17 4 x - 3 y = 6]

Isolate

x

for

3 x + 4 y = 17 : x = \frac{17 - 4 y}{3}

Substitute

x = \frac{17 - 4 y}{3}

[4 \cdot \frac{17 - 4 y}{3} - 3 y = 6]

Simplify

[\frac{68 - 25 y}{3} = 6]

Isolate

y

for

\frac{68 - 25 y}{3} = 6 : y = 2

For

x = \frac{17 - 4 y}{3}

Substitute

y = 2

x = \frac{17 - 4 \cdot 2}{3}

\frac{17 - 4 \cdot 2}{3} = 3

x = 3

The solutions to the system of equations are:

x = 3, y = 2

Popular Examples

1/2 x+1/3 y=2, 1/3 x+1/2 y= 13/6

\frac{1}{2} x + \frac{1}{3} y = 2, \frac{1}{3} x + \frac{1}{2} y = \frac{13}{6}

x = 2 y + 6, y = 2 x - 3

2x+y+z=4,x-3y-2z=-4,4x+y-3z=2

2 x + y + z = 4, x - 3 y - 2 z = - 4, 4 x + y - 3 z = 2

7m+7n=11,27m+6n=108

7 m + 7 n = 11, 27 m + 6 n = 108

7x+10y=3,6y=2x+9

7 x + 10 y = 3, 6 y = 2 x + 9

Frequently Asked Questions (FAQ)

What is 3x+4y=17,4x-3y=6 ?
The solution to 3x+4y=17,4x-3y=6 is x=3,y=2