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Popular >

3x+2y=16,4x-5y=6

Solution

3 x + 2 y = 16, 4 x - 5 y = 6

Solution

x = 4, y = 2

Solution steps

[3 x + 2 y = 16 4 x - 5 y = 6]

Isolate

x

for

3 x + 2 y = 16 : x = \frac{16 - 2 y}{3}

Substitute

x = \frac{16 - 2 y}{3}

[4 \cdot \frac{16 - 2 y}{3} - 5 y = 6]

Simplify

[\frac{64 - 23 y}{3} = 6]

Isolate

y

for

\frac{64 - 23 y}{3} = 6 : y = 2

For

x = \frac{16 - 2 y}{3}

Substitute

y = 2

x = \frac{16 - 2 \cdot 2}{3}

\frac{16 - 2 \cdot 2}{3} = 4

x = 4

The solutions to the system of equations are:

x = 4, y = 2

Popular Examples

16(3x-5)=10,(4x-8)=40

16 (3 x - 5) = 10, (4 x - 8) = 40

10x+y+z=1,2x+10y+z=1,2x+y+10z=12

10 x + y + z = 1, 2 x + 10 y + z = 1, 2 x + y + 10 z = 12

3 x + y = 1, 5 x - y = - 9

5x+2y=-34,4x-3y=-41

5 x + 2 y = - 34, 4 x - 3 y = - 41

x-7-3x-2y=-12,y=5

x - 7 - 3 x - 2 y = - 12, y = 5

Frequently Asked Questions (FAQ)

What is 3x+2y=16,4x-5y=6 ?
The solution to 3x+2y=16,4x-5y=6 is x=4,y=2