What is xy=4,2x+3y=14 ?

The solution to xy=4,2x+3y=14 is

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xy=4,2x+3y=14

x y = 4, 2 x + 3 y = 14

(x = 1, x = 6, y = 4 y = \frac{2}{3})

Solution steps

[x y = 4 2 x + 3 y = 14]

Isolate

x

for

x y = 4 : x = \frac{4}{y}; y \neq = 0

Plug the solutions

x = \frac{4}{y}

into

2 x + 3 y = 14

For

2 x + 3 y = 14

, subsitute

x

with

\frac{4}{y} : y = 4, y = \frac{2}{3}

Plug the solutions

y = 4, y = \frac{2}{3}

into

x y = 4

For

x y = 4

, subsitute

y

with

4 : x = 1

For

x y = 4

, subsitute

y

with

\frac{2}{3} : x = 6

Verify solutions by plugging them into the original equations

Therefore, the final solutions for

x y = 4, 2 x + 3 y = 14

are

(x = 1, x = 6, y = 4 y = \frac{2}{3})

5 \frac{x}{6} - \frac{y}{4} = - 2, 3 r + 2 n = 3

y - 17 = x^{2} - 9 x, - x + y = 1

a = \frac{81}{3 ^{3}} - x y, b = 2^{3} - x y

18 x - 24 y = 6, 18 x - 24 y = - 45

y - 6 = x^{2} - 3 x, x + 2 y = 2