If 3x + 2y = 12 and x - y = 1, what is the value of y?
Correct answer: D. 9/5
- A. 7/5
- B. 12/5
- C. 11/5
- D. 9/5
Explanation
From x - y = 1, we get x = y + 1. Substitution gives 3(y + 1) + 2y = 12, so 5y = 9 and y = 9/5.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Linear and Quadratic Equations and Inequalities
Linear equations are solved using algebraic manipulation, while quadratic equations involve factorisation, the quadratic formula, completing the square and the discriminant. Inequalities require careful treatment of solution intervals and reversal of the sign when multiplying or dividing by a negative number, unlike ordinary equation solving.
Practise Linear and Quadratic Equations and Inequalities
30 free Linear and Quadratic Equations and Inequalities MCQs from Quantitative Methods, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Quantitative Methods questions like this
Quantitative Methods is on this paper prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for it.
More Linear and Quadratic Equations and Inequalities questions
Solve the equation 4(2x - 3) = 3(x + 2) + 5.
For which values of x is x² - 4x - 5 > 0?
Solve the equation (x + 1)/(x - 2) = 3, where x ≠ 2.
What are the roots of the quadratic equation 2x² - 7x + 3 = 0?
For which values of p does 2x² + px + 8 = 0 have no real roots?
What is the axis of symmetry of the parabola y = x² + 8x + 3?