Question

Given: 2q- r = 4p, 2r = g. r= 2p: Prove: q=r
Please show the statements and the reasons

Answer 1

To prove that q=r, substitute the given values of r and p into the equation 2q - r = 4p. By simplifying the equation, it can be shown that q=r.

Step-by-step explanation:

To prove that q=r, we need to substitute the given values of r and p into the equation 2q - r = 4p. Given r = 2p, we substitute 2p for r in the equation to get 2q - (2p) = 4p. Simplifying this equation, we have 2q - 2p = 4p. Factoring out 2, we get 2(q - p) = 4p. Dividing both sides of the equation by 2, we have q - p = 2p. Adding p to both sides of the equation gives q = 3p. Since r = 2p and q = 3p, we can see that q is equal to r. Therefore, q=r.