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Popular >

6x+3y=4,3x+2y=3

Solution

6 x + 3 y = 4, 3 x + 2 y = 3

Solution

x = - \frac{1}{3}, y = 2

Solution steps

[6 x + 3 y = 4 3 x + 2 y = 3]

Isolate

x

for

6 x + 3 y = 4 : x = \frac{4 - 3 y}{6}

Substitute

x = \frac{4 - 3 y}{6}

[3 \cdot \frac{4 - 3 y}{6} + 2 y = 3]

Simplify

[\frac{4 + y}{2} = 3]

Isolate

y

for

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

For

x = \frac{4 - 3 y}{6}

Substitute

y = 2

x = \frac{4 - 3 \cdot 2}{6}

\frac{4 - 3 \cdot 2}{6} = - \frac{1}{3}

x = - \frac{1}{3}

The solutions to the system of equations are:

x = - \frac{1}{3}, y = 2

Popular Examples

2x-4y-2z=-14,6x+3y+3z=3,x-5y+8z=13

2 x - 4 y - 2 z = - 14, 6 x + 3 y + 3 z = 3, x - 5 y + 8 z = 13

x + y = 7, x + 2 y = 5

m = 3 p - 4, 2 m + p = 12

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

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

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

Frequently Asked Questions (FAQ)

What is 6x+3y=4,3x+2y=3 ?
The solution to 6x+3y=4,3x+2y=3 is x=-1/3 ,y=2