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Popular >

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

Solution

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

Solution

x = 2, y = - 3

Solution steps

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

Isolate

x

for

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

Substitute

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

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

Simplify

[\frac{12 - 13 y}{3} = 17]

Isolate

y

for

\frac{12 - 13 y}{3} = 17 : y = - 3

For

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

Substitute

y = - 3

x = \frac{3 - ( - 3 )}{3}

\frac{3 - ( - 3 )}{3} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = - 3

Popular Examples

3x+2y+z=1,5x+3y+4z=2,x+y-z=1

3 x + 2 y + z = 1, 5 x + 3 y + 4 z = 2, x + y - z = 1

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

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

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

x + y = 7, x - y = 3

x + 2 y = 3, x - 3 y = 13

Frequently Asked Questions (FAQ)

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