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Popular >

4x+6y=15,6x-8y=14

Solution

4 x + 6 y = 15, 6 x - 8 y = 14

Solution

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

Solution steps

[4 x + 6 y = 15 6 x - 8 y = 14]

Isolate

x

for

4 x + 6 y = 15 : x = \frac{15 - 6 y}{4}

Substitute

x = \frac{15 - 6 y}{4}

[6 \cdot \frac{15 - 6 y}{4} - 8 y = 14]

Simplify

[\frac{- 34 y + 45}{2} = 14]

Isolate

y

for

\frac{- 34 y + 45}{2} = 14 : y = \frac{1}{2}

For

x = \frac{15 - 6 y}{4}

Substitute

y = \frac{1}{2}

x = \frac{15 - 6 \cdot \frac{1}{2}}{4}

\frac{15 - 6 \cdot \frac{1}{2}}{4} = 3

x = 3

The solutions to the system of equations are:

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

Popular Examples

x+y=11,y+2= 1/8*(10y+x)*1

x + y = 11, y + 2 = \frac{1}{8} \cdot (10 y + x) \cdot 1

-8x+7y=-3,3x-7y=-12

- 8 x + 7 y = - 3, 3 x - 7 y = - 12

2-5x=17,2-5x=17

2 - 5 x = 17, 2 - 5 x = 17

25x+10y=50,-6x+10y=24

25 x + 10 y = 50, - 6 x + 10 y = 24

8x+2y-4z=16,4x+10y+10z=-6,3x+8y+6z=18

8 x + 2 y - 4 z = 16, 4 x + 10 y + 10 z = - 6, 3 x + 8 y + 6 z = 18

Frequently Asked Questions (FAQ)

What is 4x+6y=15,6x-8y=14 ?
The solution to 4x+6y=15,6x-8y=14 is x=3,y= 1/2