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Popular >

2x+y=1,4x+3y=5

Solution

2 x + y = 1, 4 x + 3 y = 5

Solution

x = - 1, y = 3

Solution steps

[2 x + y = 1 4 x + 3 y = 5]

Isolate

x

for

2 x + y = 1 : x = \frac{1 - y}{2}

Substitute

x = \frac{1 - y}{2}

[4 \cdot \frac{1 - y}{2} + 3 y = 5]

Simplify

[y + 2 = 5]

Isolate

y

for

y + 2 = 5 : y = 3

For

x = \frac{1 - y}{2}

Substitute

y = 3

x = \frac{1 - 3}{2}

\frac{1 - 3}{2} = - 1

x = - 1

The solutions to the system of equations are:

x = - 1, y = 3

Popular Examples

3x-5y-4=0,9x-2y+7=0

3 x - 5 y - 4 = 0, 9 x - 2 y + 7 = 0

3x-2y=-5,4x+5y=47

3 x - 2 y = - 5, 4 x + 5 y = 47

x + z = 5, 2 x + 3 z = 7

2x-3y+4=0,3x-2y+3=0

2 x - 3 y + 4 = 0, 3 x - 2 y + 3 = 0

y = - 2, x = 7

Frequently Asked Questions (FAQ)

What is 2x+y=1,4x+3y=5 ?
The solution to 2x+y=1,4x+3y=5 is x=-1,y=3