Question

solve for x and y: 4/x+3y=14 and 3/x-4y=23

Answer 1

Answer:

x=0.2 and y=-2

Step-by-step explanation:

Given : Equations $\frac{4}{x}+3y=14$ and $\frac{3}{x}-4y=23$

To find : The value of x and y?

Solution :

We solve the equations with the help of the graph.

Plot the equations in the graphing tool.

$\frac{4}{x}+3y=14$ equation 1 with red line.

$\frac{3}{x}-4y=23$ eqtuation 2 with blue line.

Their intersection point is the solution of the equations.

The intersection point is (0.2,-2).

Therefore, The value of x is 0.2 and y is -2.

Refer the attached figure below.

Answer 2

Answer:

$Value \: of \: x = \frac{1}{5}\\and\\y = -2$

Step-by-step explanation:

$Given \: two \: Linear \: equations:\\</p><p>\frac{4}{x}+3y = 14 ---(1)\\and\\\frac{3}{x}-4y=23---(2)$

Multiply equation (1) by 4 and equation (2) by 3 ,we get

$\frac{16}{x}+12y = 56 ---(3)\\and\\\frac{9}{x}-12y=69---(4)$

Add equations (3) and (4) , we get

$\frac{16}{x}+\frac{9}{x}=125$

$\implies \frac{25}{x}=125$

$\implies \frac{25}{125}=x$

$\implies \frac{1}{5}=x$

$Put \: x =\frac{1}{5} \: in \\equation \:(1), \: we \: get$

$\frac{4}{\frac{1}{5}}+3y = 14$

$\implies 20+3y = 14$

$\implies 3y = 14 - 20$

$\implies y = \frac{-6}{3}$

$\implies y = -2$

Therefore,

$Value \: of \: x = \frac{1}{5}\\and\\y = -2$

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