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Solve the pair of equations $2 x + 3 y = 12$ and $4 x - y = 10$ for $x$ .

Competition practiceAlgebra

A2
B3
C4
D5

Step-by-Step Solution

From the second equation

y = 4 x - 10

. Substituting:

2 x + 3 (4 x - 10) = 12

→

14 x = 42

→

x = 3

.

Answer: B) 3

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