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Popular >

5x-3y=14,3x-5y=2

Solution

5 x - 3 y = 14, 3 x - 5 y = 2

Solution

x = 4, y = 2

Solution steps

[5 x - 3 y = 14 3 x - 5 y = 2]

Isolate

x

for

5 x - 3 y = 14 : x = \frac{14 + 3 y}{5}

Substitute

x = \frac{14 + 3 y}{5}

[3 \cdot \frac{14 + 3 y}{5} - 5 y = 2]

Simplify

[\frac{42 - 16 y}{5} = 2]

Isolate

y

for

\frac{42 - 16 y}{5} = 2 : y = 2

For

x = \frac{14 + 3 y}{5}

Substitute

y = 2

x = \frac{14 + 3 \cdot 2}{5}

\frac{14 + 3 \cdot 2}{5} = 4

x = 4

The solutions to the system of equations are:

x = 4, y = 2

Popular Examples

2 x - y = 1, y - 5 x = 2

3x+2y=1,2x-y+1=0

3 x + 2 y = 1, 2 x - y + 1 = 0

3x+2y=27,5x_{3}y=25

3 x + 2 y = 27, 5 x_{3} y = 25

2 x + y = 7, x + 3 y = 1

12x-5y=-2,0y=x+4

12 x - 5 y = - 2, 0 y = x + 4

Frequently Asked Questions (FAQ)

What is 5x-3y=14,3x-5y=2 ?
The solution to 5x-3y=14,3x-5y=2 is x=4,y=2