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