Linear system from algebraic relation

CMAT 2018 · Quantitative Techniques & Data Interpretation · Easy · Algebra

If $AB + C = D$ , find $A$ and $C$ given that when $B = 6, D = 30$ and when $B = 8, D = 36$ .

Answer

We are given two equations:

Subtracting (1) from (2): $2A = 6 \implies A = 3$ . Substitute $A = 3$ into (1): $6(3) + C = 30 \implies C = 12$ .

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