- ABoth A and R are true, and R correctly explains A
- BBoth A and R are true, but R does not explain A
- CA is true, R is false
- DA is false, R is true
Step-by-Step Solution
2(0)+3(0)=0 so (0,0) is a solution (A true). Any equation ax+by=0 has no constant term, so (0,0) satisfies it (R true), and that is exactly why A holds.
Answer: A) Both A and R are true, and R correctly explains A