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Popular >

4x+3y=18,5x+6y=27

Solution

4 x + 3 y = 18, 5 x + 6 y = 27

Solution

x = 3, y = 2

Solution steps

[4 x + 3 y = 18 5 x + 6 y = 27]

Isolate

x

for

4 x + 3 y = 18 : x = \frac{18 - 3 y}{4}

Substitute

x = \frac{18 - 3 y}{4}

[5 \cdot \frac{18 - 3 y}{4} + 6 y = 27]

Simplify

[\frac{90 + 9 y}{4} = 27]

Isolate

y

for

\frac{90 + 9 y}{4} = 27 : y = 2

For

x = \frac{18 - 3 y}{4}

Substitute

y = 2

x = \frac{18 - 3 \cdot 2}{4}

\frac{18 - 3 \cdot 2}{4} = 3

x = 3

The solutions to the system of equations are:

x = 3, y = 2

Popular Examples

x/2+y=0,x-y/3 = 1/2

\frac{x}{2} + y = 0, x - \frac{y}{3} = \frac{1}{2}

7x+3y=46,12x-5y=18

7 x + 3 y = 46, 12 x - 5 y = 18

a = 4, b = 2

4 x - y = 8, x + y = 7

4x-2y=20,-5x-5y=-10

4 x - 2 y = 20, - 5 x - 5 y = - 10

Frequently Asked Questions (FAQ)

What is 4x+3y=18,5x+6y=27 ?
The solution to 4x+3y=18,5x+6y=27 is x=3,y=2