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Popular >

3x+2y=10,4x-6y=9

Solution

3 x + 2 y = 10, 4 x - 6 y = 9

Solution

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

Solution steps

[3 x + 2 y = 10 4 x - 6 y = 9]

Isolate

x

for

3 x + 2 y = 10 : x = \frac{10 - 2 y}{3}

Substitute

x = \frac{10 - 2 y}{3}

[4 \cdot \frac{10 - 2 y}{3} - 6 y = 9]

Simplify

[\frac{40 - 26 y}{3} = 9]

Isolate

y

for

\frac{40 - 26 y}{3} = 9 : y = \frac{1}{2}

For

x = \frac{10 - 2 y}{3}

Substitute

y = \frac{1}{2}

x = \frac{10 - 2 \cdot \frac{1}{2}}{3}

\frac{10 - 2 \cdot \frac{1}{2}}{3} = 3

x = 3

The solutions to the system of equations are:

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

Popular Examples

2x+y=10,-2x+3y=14

2 x + y = 10, - 2 x + 3 y = 14

2x-5y+8=0,x-4y+7=0

2 x - 5 y + 8 = 0, x - 4 y + 7 = 0

x-5x-14=0,y-7y+10=0

x - 5 x - 14 = 0, y - 7 y + 10 = 0

4x+6y=-11,0x+18y=14

4 x + 6 y = - 11, 0 x + 18 y = 14

16a-13b=-10,3a+5b=-8

16 a - 13 b = - 10, 3 a + 5 b = - 8

Frequently Asked Questions (FAQ)

What is 3x+2y=10,4x-6y=9 ?
The solution to 3x+2y=10,4x-6y=9 is x=3,y= 1/2