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Popular >

5x-3y=20,9y-4x=17

Solution

5 x - 3 y = 20, 9 y - 4 x = 17

Solution

x = 7, y = 5

Solution steps

[5 x - 3 y = 20 9 y - 4 x = 17]

Isolate

x

for

5 x - 3 y = 20 : x = \frac{20 + 3 y}{5}

Substitute

x = \frac{20 + 3 y}{5}

[9 y - 4 \cdot \frac{20 + 3 y}{5} = 17]

Simplify

[\frac{- 80 + 33 y}{5} = 17]

Isolate

y

for

\frac{- 80 + 33 y}{5} = 17 : y = 5

For

x = \frac{20 + 3 y}{5}

Substitute

y = 5

x = \frac{20 + 3 \cdot 5}{5}

\frac{20 + 3 \cdot 5}{5} = 7

x = 7

The solutions to the system of equations are:

x = 7, y = 5

Popular Examples

2x+3y=8,x-2y+3=0

2 x + 3 y = 8, x - 2 y + 3 = 0

5x+7y=50,9x+14y=97

5 x + 7 y = 50, 9 x + 14 y = 97

122x-3y+7=0,5x+2y+8=0

122 x - 3 y + 7 = 0, 5 x + 2 y + 8 = 0

x + y = 2, 8 x - 3 y = 8

5x-y=-3,4x-y=-5

5 x - y = - 3, 4 x - y = - 5

Frequently Asked Questions (FAQ)

What is 5x-3y=20,9y-4x=17 ?
The solution to 5x-3y=20,9y-4x=17 is x=7,y=5