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Popular >

2x+3y=19,3x+2y=16

Solution

2 x + 3 y = 19, 3 x + 2 y = 16

Solution

x = 2, y = 5

Solution steps

[2 x + 3 y = 19 3 x + 2 y = 16]

Isolate

x

for

2 x + 3 y = 19 : x = \frac{19 - 3 y}{2}

Substitute

x = \frac{19 - 3 y}{2}

[3 \cdot \frac{19 - 3 y}{2} + 2 y = 16]

Simplify

[\frac{57 - 5 y}{2} = 16]

Isolate

y

for

\frac{57 - 5 y}{2} = 16 : y = 5

For

x = \frac{19 - 3 y}{2}

Substitute

y = 5

x = \frac{19 - 3 \cdot 5}{2}

\frac{19 - 3 \cdot 5}{2} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = 5

Popular Examples

4x-3y=7,5x-2y=14

4 x - 3 y = 7, 5 x - 2 y = 14

6x+9y=-33,5x-y=32

6 x + 9 y = - 33, 5 x - y = 32

2x+3y=13,4x-y=5

2 x + 3 y = 13, 4 x - y = 5

3x+2y=29,5x-y=18

3 x + 2 y = 29, 5 x - y = 18

4x-3y=10,3x+y=1

4 x - 3 y = 10, 3 x + y = 1

Frequently Asked Questions (FAQ)

What is 2x+3y=19,3x+2y=16 ?
The solution to 2x+3y=19,3x+2y=16 is x=2,y=5