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Popular >

3x+4y=30,3x-y=15

Solution

3 x + 4 y = 30, 3 x - y = 15

Solution

x = 6, y = 3

Solution steps

[3 x + 4 y = 30 3 x - y = 15]

Isolate

x

for

3 x + 4 y = 30 : x = \frac{30 - 4 y}{3}

Substitute

x = \frac{30 - 4 y}{3}

[3 \cdot \frac{30 - 4 y}{3} - y = 15]

Simplify

[30 - 5 y = 15]

Isolate

y

for

30 - 5 y = 15 : y = 3

For

x = \frac{30 - 4 y}{3}

Substitute

y = 3

x = \frac{30 - 4 \cdot 3}{3}

\frac{30 - 4 \cdot 3}{3} = 6

x = 6

The solutions to the system of equations are:

x = 6, y = 3

Popular Examples

2x+y=3,-4x+5y=-13

2 x + y = 3, - 4 x + 5 y = - 13

3x-y+5=3,x-y-2=0

3 x - y + 5 = 3, x - y - 2 = 0

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

x+y=2,x-z=0,w(x,y,z)=2x+y-z

x + y = 2, x - z = 0, w (x, y, z) = 2 x + y - z

2/x-3/y =9, 5/x+1/y =7

\frac{2}{x} - \frac{3}{y} = 9, \frac{5}{x} + \frac{1}{y} = 7

Frequently Asked Questions (FAQ)

What is 3x+4y=30,3x-y=15 ?
The solution to 3x+4y=30,3x-y=15 is x=6,y=3