allerySolve 2x + 3y = 12 and x − y = 1.
A(4, 3)
B(1, 0)
C(3, 2)
D(2, 3)
Answer & Solution
Correct answer: C. (3, 2)
From the second: x = y + 1. Sub: 2(y + 1) + 3y = 12 ⇒ 5y = 10 ⇒ y = 2, then x = 3.
Keep practising Linear Equations in One Variable
Browse all Linear Equations in One Variable questions for Andhra Pradesh SSC (Class 10), or explore more Mathematics topics.
Related questions
CLASS10 · Mathematics · Linear Equations — ConsistencyIn the elimination method we:Two linear equations in x, y have a unique solution when:A two-digit number has digits whose sum is 9. Reversing the digits decreases the number byFive years ago A was thrice as old as B. Ten years later A will be twice as old as B. FindSolve 1/x + 1/y = 1/3 and 1/x − 1/y = 1/12.A father is 30 years older than his son. After 5 years the father will be three times as oThe sum of two numbers is 25 and their difference is 5. Find them.