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Popular >

2x+3y=51,1x-5y=6

Solution

2 x + 3 y = 51, 1 x - 5 y = 6

Solution

x = 21, y = 3

Solution steps

[2 x + 3 y = 51 1 \cdot x - 5 y = 6]

Isolate

x

for

2 x + 3 y = 51 : x = \frac{51 - 3 y}{2}

Substitute

x = \frac{51 - 3 y}{2}

[1 \cdot \frac{51 - 3 y}{2} - 5 y = 6]

Simplify

[\frac{51 - 13 y}{2} = 6]

Isolate

y

for

\frac{51 - 13 y}{2} = 6 : y = 3

For

x = \frac{51 - 3 y}{2}

Substitute

y = 3

x = \frac{51 - 3 \cdot 3}{2}

\frac{51 - 3 \cdot 3}{2} = 21

x = 21

The solutions to the system of equations are:

x = 21, y = 3

Popular Examples

5/3 y= 34/3 ,x=2

\frac{5}{3} y = \frac{34}{3}, x = 2

11/3*x+3/4*y= 5/12 , 7/6*x+1/5*y-5/30 =0

\frac{11}{3} \cdot x + \frac{3}{4} \cdot y = \frac{5}{12}, \frac{7}{6} \cdot x + \frac{1}{5} \cdot y - \frac{5}{30} = 0

2 x + y = 8, 4 x - y = 10

x+2y=13,3x+y=14

x + 2 y = 13, 3 x + y = 14

7x+2y=42,3x-2y=-2

7 x + 2 y = 42, 3 x - 2 y = - 2

Frequently Asked Questions (FAQ)

What is 2x+3y=51,1x-5y=6 ?
The solution to 2x+3y=51,1x-5y=6 is x=21,y=3