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Popular >

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

Solution

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

Solution

x = - 2, y = 4

Solution steps

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

Isolate

x

for

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

Substitute

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

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

Simplify

[\frac{- 80 + 21 y}{2} = 2]

Isolate

y

for

\frac{- 80 + 21 y}{2} = 2 : y = 4

For

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

Substitute

y = 4

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

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

x = - 2

The solutions to the system of equations are:

x = - 2, y = 4

Popular Examples

9x-4y=23,2x-y=12

9 x - 4 y = 23, 2 x - y = 12

10x+8y+z=20,0x+y+z=100

10 x + 8 y + z = 20, 0 x + y + z = 100

3x+4y+10=0,x-y=2

3 x + 4 y + 10 = 0, x - y = 2

2x+3y=20,x-2y=3

2 x + 3 y = 20, x - 2 y = 3

x+4y-8z=-8,4x+8y-z=76,8x-y-4z=110

x + 4 y - 8 z = - 8, 4 x + 8 y - z = 76, 8 x - y - 4 z = 110

Frequently Asked Questions (FAQ)

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