Respuesta :

Answer:

m = 3

n = 14

p = 2

Step-by-step explanation:

Given:

[tex]\frac{7}{x}-\frac{3}{2}=\frac{n-mx}{px}[/tex]

We need to find the values of m, n, p

Solution:

We will first solve the L.H.S

L.H.S = [tex]\frac{7}{x}-\frac{3}{2}[/tex]

Now we will first make the denominator common by taking L.C.M

[tex]=\frac{7\times 2}{x\times 2}-\frac{3\timesx}{2\timesx}\\\\= \frac{14}{2x}-\frac{3x}{2x}[/tex]

Now the denominator is common hence we will subtract the numerators.

L.H.S [tex]= \frac{14-3x}{2x}[/tex]

Now Comparing the the value of L.H.S with R.H.S we can say that;

[tex]\frac{14-3x}{2x}=\frac{n-mx}{px}[/tex]

m = 3

n = 14

p = 2

Answer:

m = 3

n = 14

p = 2

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