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Popular >

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

Solution

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

Solution

x = 2, y = 1

Solution steps

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

Isolate

x

for

3 x + 4 y = 10 : x = \frac{10 - 4 y}{3}

Substitute

x = \frac{10 - 4 y}{3}

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

Simplify

[\frac{20 - 14 y}{3} = 2]

Isolate

y

for

\frac{20 - 14 y}{3} = 2 : y = 1

For

x = \frac{10 - 4 y}{3}

Substitute

y = 1

x = \frac{10 - 4 \cdot 1}{3}

\frac{10 - 4 \cdot 1}{3} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = 1

Popular Examples

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

5x-2=3,x+15x-2=3x+1

5 x - 2 = 3, x + 15 x - 2 = 3 x + 1

9x+8y=6,5x+6y=-6

9 x + 8 y = 6, 5 x + 6 y = - 6

y=2x-19,2x-3y+3=0

y = 2 x - 19, 2 x - 3 y + 3 = 0

x+y+8=5,x+y=3x-y

x + y + 8 = 5, x + y = 3 x - y

Frequently Asked Questions (FAQ)

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