What is 2x+3y=5,3x+2y=7,3x-2y=1 ?

The solution to 2x+3y=5,3x+2y=7,3x-2y=1 is No Solution

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2x+3y=5,3x+2y=7,3x-2y=1

2 x + 3 y = 5, 3 x + 2 y = 7, 3 x - 2 y = 1

No Solution

Solution steps

2 x + 3 y = 5 3 x + 2 y = 7 3 x - 2 y = 1

Isolate

x

for

2 x + 3 y = 5 : x = \frac{5 - 3 y}{2}

Substitute

x = \frac{5 - 3 y}{2}

[3 \cdot \frac{5 - 3 y}{2} + 2 y = 7 3 \cdot \frac{5 - 3 y}{2} - 2 y = 1]

Simplify

[\frac{15 - 5 y}{2} = 7 \frac{15 - 13 y}{2} = 1]

Isolate

y

for

\frac{15 - 5 y}{2} = 7 : y = \frac{1}{5}

Substitute

y = \frac{1}{5}

[\frac{15 - 13 \cdot \frac{1}{5}}{2} = 1]

Simplify

[\frac{31}{5} = 1]

\frac{31}{5} = 1

is false, therefore the system of equations has no solution

No Solution

2 x + 3 y - z = 18, x - 2 y + 4 z = 21, 3 x - y - 3 z = 3

2 x + 4 y = 7, 3 x - 6 y = 10

2 x + 4 y = 16, 4 x + 3 y = 24

x = 2 y + 3, 5 x + y = 4

x + y + z = 63, 2 - 4 y = 1, 2 y + 32 = 7

What is 2x+3y=5,3x+2y=7,3x-2y=1 ?
The solution to 2x+3y=5,3x+2y=7,3x-2y=1 is No Solution