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Popular >

5x-4y=28,3x-9y=30

Solution

5 x - 4 y = 28, 3 x - 9 y = 30

Solution

x = 4, y = - 2

Solution steps

[5 x - 4 y = 28 3 x - 9 y = 30]

Isolate

x

for

5 x - 4 y = 28 : x = \frac{28 + 4 y}{5}

Substitute

x = \frac{28 + 4 y}{5}

[3 \cdot \frac{28 + 4 y}{5} - 9 y = 30]

Simplify

[\frac{84 - 33 y}{5} = 30]

Isolate

y

for

\frac{84 - 33 y}{5} = 30 : y = - 2

For

x = \frac{28 + 4 y}{5}

Substitute

y = - 2

x = \frac{28 + 4 ( - 2 )}{5}

\frac{28 + 4 ( - 2 )}{5} = 4

x = 4

The solutions to the system of equations are:

x = 4, y = - 2

Popular Examples

1/3 x+1/4 y=1, 2/3 x-3/4 y=1

\frac{1}{3} x + \frac{1}{4} y = 1, \frac{2}{3} x - \frac{3}{4} y = 1

2x-3y=15,5x+4y=3

2 x - 3 y = 15, 5 x + 4 y = 3

x+2y=11,2x-3y=-6

x + 2 y = 11, 2 x - 3 y = - 6

1/2 x+2y=6, 1/2 x-2y=0

\frac{1}{2} x + 2 y = 6, \frac{1}{2} x - 2 y = 0

5 x + y = 11, 2 x - y = 8

Frequently Asked Questions (FAQ)

What is 5x-4y=28,3x-9y=30 ?
The solution to 5x-4y=28,3x-9y=30 is x=4,y=-2