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Popular >

2x+3y=8,7x-3y=1

Solution

2 x + 3 y = 8, 7 x - 3 y = 1

Solution

x = 1, y = 2

Solution steps

[2 x + 3 y = 8 7 x - 3 y = 1]

Isolate

x

for

2 x + 3 y = 8 : x = \frac{8 - 3 y}{2}

Substitute

x = \frac{8 - 3 y}{2}

[7 \cdot \frac{8 - 3 y}{2} - 3 y = 1]

Simplify

[\frac{56 - 27 y}{2} = 1]

Isolate

y

for

\frac{56 - 27 y}{2} = 1 : y = 2

For

x = \frac{8 - 3 y}{2}

Substitute

y = 2

x = \frac{8 - 3 \cdot 2}{2}

Simplify

x = 1

The solutions to the system of equations are:

x = 1, y = 2

Popular Examples

(1/x-y)+(1/x+y)=6,(1/x-y)-(1/x+y)=4

(\frac{1}{x} - y) + (\frac{1}{x} + y) = 6, (\frac{1}{x} - y) - (\frac{1}{x} + y) = 4

2x-y=4,-6x+3y=18

2 x - y = 4, - 6 x + 3 y = 18

(1)2x+3y=1,3x-y=7

(1) 2 x + 3 y = 1, 3 x - y = 7

3/x+2/y = 9/x*y, 9/x+4/y =(21)/x*y

\frac{3}{x} + \frac{2}{y} = \frac{9}{x} \cdot y, \frac{9}{x} + \frac{4}{y} = \frac{21}{x} \cdot y

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

Frequently Asked Questions (FAQ)

What is 2x+3y=8,7x-3y=1 ?
The solution to 2x+3y=8,7x-3y=1 is x=1,y=2