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Popular >

2x+3y=10,4x-y=-1

Solution

2 x + 3 y = 10, 4 x - y = - 1

Solution

x = \frac{1}{2}, y = 3

Solution steps

[2 x + 3 y = 10 4 x - y = - 1]

Isolate

x

for

2 x + 3 y = 10 : x = \frac{10 - 3 y}{2}

Substitute

x = \frac{10 - 3 y}{2}

[4 \cdot \frac{10 - 3 y}{2} - y = - 1]

Simplify

[- 7 y + 20 = - 1]

Isolate

y

for

- 7 y + 20 = - 1 : y = 3

For

x = \frac{10 - 3 y}{2}

Substitute

y = 3

x = \frac{10 - 3 \cdot 3}{2}

Simplify

x = \frac{1}{2}

The solutions to the system of equations are:

x = \frac{1}{2}, y = 3

Popular Examples

5x-19y=3700,4x-21y=1800

5 x - 19 y = 3700, 4 x - 21 y = 1800

7x+3y=15,5x+12y=39

7 x + 3 y = 15, 5 x + 12 y = 39

x/5+((3y))/4 =6,((2x))/3-((3y))/2 =4

\frac{x}{5} + \frac{( 3 y )}{4} = 6, \frac{( 2 x )}{3} - \frac{( 3 y )}{2} = 4

1/7 x+y/3 =5, x/2-y/9 =6

\frac{1}{7} x + \frac{y}{3} = 5, \frac{x}{2} - \frac{y}{9} = 6

3 x + 2 y = 5, x - 3 y = 9

Frequently Asked Questions (FAQ)

What is 2x+3y=10,4x-y=-1 ?
The solution to 2x+3y=10,4x-y=-1 is x= 1/2 ,y=3