Question:
If \(2x + 3y = 12\) and \(x = 3\), what is the value of y?
If \(2x + 3y = 12\) and \(x = 3\), what is the value of y?
Show Hint
Plug in x = 3, then isolate y.
Updated On: Jul 8, 2026
- 1
- 4
- 3
- 2
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Substitute x = 3.
\[2(3) + 3y = 12\] \[6 + 3y = 12\] Step 2: Solve for y.
\[3y = 12 - 6 = 6\] \[y = \dfrac{6}{3} = \boxed{2}\]
\[2(3) + 3y = 12\] \[6 + 3y = 12\] Step 2: Solve for y.
\[3y = 12 - 6 = 6\] \[y = \dfrac{6}{3} = \boxed{2}\]
Was this answer helpful?
0
0
Top NMAT Quantitative Aptitude Questions
- Vineet calculates his profit percentage on the selling price whereas Roshan calculates his profit on the cost price. They find that the difference of their profits is Rs. 275. If the selling price of both of them are the same, and Vineet gets 25\(\%\) profit and Roshan gets 15\(\%\) profit, then find their selling price.
- A man sells two horses for Rs. 1475. The cost price of the first is equal to the selling price of the second. If the first is sold at 20\(\%\) loss and the second at 25\(\%\) gain, what is his total gain or loss (in rupees)?
- A farmer sold a cow and an ox for Rs. 800 and got a profit of 20\(\%\) on the cow and 25\(\%\) on the ox. If he sells the cow and the ox for Rs. 820 and gets a profit of 25\(\%\) on the cow and 20\(\%\) on the ox, the individual cost price of the cow and the ox is
- Arun borrowed a sum of money from Jayant at the rate of 8\(\%\) per annum simple interest for the first four years, 10\(\%\) per annum for the next 6 years and 12\(\%\) per annum for the period beyond 10 yerras. If he pays a total of Rs. 12,160 as interest only at the end of 15 years, how much money did he borrow?
- A sum of Rs. 1,440 is lent out in three parts in such a way that the interests on first part at 2\(\%\) for 3 years, second part at 3\(\%\) for 4 years and third part at 4\(\%\) for 5 years are equal. Then the difference between the largest and the smallest sum is
View More Questions
Top NMAT Equations Questions
- Solve the following:-
\(5389 + 4172 – 3868 – ? = 2456 + 1130\) - Solve the following:-
(23)23 × (23)–19 =? - Solve the following:-
\((193 – 87) ÷ (1.25 × 2) = ?\) - Solve the following:-
(8.83% of 228) – (2.65% of 104) =? - Solve the following:-
\(3870 ÷ ? = 516\)
View More Questions
Top NMAT Questions
- Vineet calculates his profit percentage on the selling price whereas Roshan calculates his profit on the cost price. They find that the difference of their profits is Rs. 275. If the selling price of both of them are the same, and Vineet gets 25\(\%\) profit and Roshan gets 15\(\%\) profit, then find their selling price.
- A man sells two horses for Rs. 1475. The cost price of the first is equal to the selling price of the second. If the first is sold at 20\(\%\) loss and the second at 25\(\%\) gain, what is his total gain or loss (in rupees)?
- A farmer sold a cow and an ox for Rs. 800 and got a profit of 20\(\%\) on the cow and 25\(\%\) on the ox. If he sells the cow and the ox for Rs. 820 and gets a profit of 25\(\%\) on the cow and 20\(\%\) on the ox, the individual cost price of the cow and the ox is
- Arun borrowed a sum of money from Jayant at the rate of 8\(\%\) per annum simple interest for the first four years, 10\(\%\) per annum for the next 6 years and 12\(\%\) per annum for the period beyond 10 yerras. If he pays a total of Rs. 12,160 as interest only at the end of 15 years, how much money did he borrow?
- A sum of Rs. 1,440 is lent out in three parts in such a way that the interests on first part at 2\(\%\) for 3 years, second part at 3\(\%\) for 4 years and third part at 4\(\%\) for 5 years are equal. Then the difference between the largest and the smallest sum is
View More Questions