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Popular >

3x-2y=-5,4x+5y=47

Solution

3 x - 2 y = - 5, 4 x + 5 y = 47

Solution

x = 3, y = 7

Solution steps

[3 x - 2 y = - 5 4 x + 5 y = 47]

Isolate

x

for

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

Substitute

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

[4 \cdot \frac{- 5 + 2 y}{3} + 5 y = 47]

Simplify

[\frac{- 20 + 23 y}{3} = 47]

Isolate

y

for

\frac{- 20 + 23 y}{3} = 47 : y = 7

For

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

Substitute

y = 7

x = \frac{- 5 + 2 \cdot 7}{3}

\frac{- 5 + 2 \cdot 7}{3} = 3

x = 3

The solutions to the system of equations are:

x = 3, y = 7

Popular Examples

x + z = 5, 2 x + 3 z = 7

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

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

y = - 2, x = 7

3x+2y=10,4x-6y=9

3 x + 2 y = 10, 4 x - 6 y = 9

2x+y=10,-2x+3y=14

2 x + y = 10, - 2 x + 3 y = 14

Frequently Asked Questions (FAQ)

What is 3x-2y=-5,4x+5y=47 ?
The solution to 3x-2y=-5,4x+5y=47 is x=3,y=7