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Popular >

2x+3y=1,5x+3y=16

Solution

2 x + 3 y = 1, 5 x + 3 y = 16

Solution

x = 5, y = - 3

Solution steps

[2 x + 3 y = 1 5 x + 3 y = 16]

Isolate

x

for

2 x + 3 y = 1 : x = \frac{1 - 3 y}{2}

Substitute

x = \frac{1 - 3 y}{2}

[5 \cdot \frac{1 - 3 y}{2} + 3 y = 16]

Simplify

[\frac{5 - 9 y}{2} = 16]

Isolate

y

for

\frac{5 - 9 y}{2} = 16 : y = - 3

For

x = \frac{1 - 3 y}{2}

Substitute

y = - 3

x = \frac{1 - 3 ( - 3 )}{2}

\frac{1 - 3 ( - 3 )}{2} = 5

x = 5

The solutions to the system of equations are:

x = 5, y = - 3

Popular Examples

3x-4y=-2,-4y-3x=101

3 x - 4 y = - 2, - 4 y - 3 x = 101

4x-y=-9,2x+2y=-2

4 x - y = - 9, 2 x + 2 y = - 2

15x-5-5(2x)=40,15x-5-5(2x)=40

15 x - 5 - 5 (2 x) = 40, 15 x - 5 - 5 (2 x) = 40

31x+29y=33,29x+31y=27

31 x + 29 y = 33, 29 x + 31 y = 27

7a-6b=9,-2a+7b=8

7 a - 6 b = 9, - 2 a + 7 b = 8

Frequently Asked Questions (FAQ)

What is 2x+3y=1,5x+3y=16 ?
The solution to 2x+3y=1,5x+3y=16 is x=5,y=-3