Question

4p=3q+5 and p-q=7/6

Solve simultaneous equation

Pl solve it, I need help ​

Answer 1

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Answer 2

Final Answer:

The solution of the simultaneous equations $4p=3q+5,p-q=\frac{7}{6}$ is $p=\frac{3}{2},q=\frac{1}{3}$.

Given:

The simultaneous equations provided are

$4p=3q+5\;\;\;\;...(i)\\p-q=\frac{7}{6} \;\;\;\;\;...(ii)$

To Find:

The solution of the simultaneous equations provided is to be calculated.

Explanation:

The concept of solving the simultaneous equations is followed in figuring out the solution to this problem here.

The simultaneous equations for any set of variables are those algebraic equations that hold good for the stated variables simultaneously.

Step 1 of 3

As per the given statement in the problem, multiply both sides of the equations (i) and (ii) by 3 and 12 respectively to get the following.

$12p-9q=15\;\;\;\;...(iii)\\12p-12q=14 \;\;\;\;\;...(iv)$

Step 2 of 3

Subtract the equation (ii) form the equation (i) to deduce the following.

$12p-12p-9q+12q=15-14\\ 3q=1\\q=\frac{1}{3} \;\;\;\;\;...(v)$

Step 3 of 3

In continuation with the above calculations, put the value of q from the equation (v) in the equation (ii) to derive the following.

$p\\\\=\frac{7}{6}+\frac{1}{3}\\\\=\frac{7+2}{6}\\\\=\frac{9}{6}\\\\=\frac{3}{2}$

Therefore, the required correct answer is $p=\frac{3}{2},q=\frac{1}{3}$.

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