MATHEMATICS
JAMB 2023 - Question 6
Mathematics 2023 JAMB Past Questions - Question 6: Solve the equations: P2+q2=29, P+q = 7
A:
B:
C:
D:
Correct Answer
C
Explanation
To solve the system of equations P2+q2=29 and P+q=7 Here's how you can solve it using substitution:From the second equation, solve for one variable in terms of the other. Let's solve for P in terms of q: P=7−q Now substitute this expression for P into the first equation: (7−q)2+q2=29 Expand and solve for q: 49−14q+q2+q2=29 2q2−14q+20=0 (q−5)(q−2)=0So, q=5 or q=2. Divide through by 2: q2−7q+10=0This quadratic equation can be factored: Now, substitute each value of q back into the equation P=7−q to find the corresponding values of P: When q=5, P=7−5=2When q=2, P=7−2=5 Therefore, the solutions to the system of equations are P=2,q=5 and P=5,q=2.
Frequently Asked Questions
Examkits is a JAMB CBT practice platform that provides over 20 years of past questions, Post UTME questions, and detailed video solutions to help students prepare for their exams.
You can practice JAMB past questions online, on Android, or on a desktop using the Examkits app. Just register on our website and choose your preferred device.
Yes. Our Android and Windows versions support offline usage. Once downloaded and activated, no internet is required to use most of the features.
Yes, Examkits provides detailed video explanations for all JAMB past questions from 2000 to 2024, helping students understand how to solve each problem.
Examkits offers free practice for some subjects. However, full access requires a one-time affordable activation fee for each version of the app.