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Popular >

x-2y=1,xy=3

Solution

x - 2 y = 1, x y = 3

Solution

(x = 3, x = - 2, y = 1 y = - \frac{3}{2})

Solution steps

[x - 2 y = 1 x y = 3]

Isolate

x

for

x - 2 y = 1 : x = 1 + 2 y

Plug the solutions

x = 1 + 2 y

into

x y = 3

For

x y = 3

, subsitute

x

with

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

Plug the solutions

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

into

x - 2 y = 1

For

x - 2 y = 1

, subsitute

y

with

1 : x = 3

For

x - 2 y = 1

, subsitute

y

with

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

Verify solutions by plugging them into the original equations

Therefore, the final solutions for

x - 2 y = 1, x y = 3

are

(x = 3, x = - 2, y = 1 y = - \frac{3}{2})

Popular Examples

x+y=3,x^2+y^2=2

x + y = 3, x^{2} + y^{2} = 2

x + y = 6, x + y = 8

x + 8 - x + y = 6, y = 2

x+y-xy=1,xy(x+y)=20

x + y - x y = 1, x y (x + y) = 20

x^2-xy+y^2=y,x+y=1

x^{2} - x y + y^{2} = y, x + y = 1

Frequently Asked Questions (FAQ)

What is x-2y=1,xy=3 ?
The solution to x-2y=1,xy=3 is