check whether the pairs of linear equations is consistent x+3y=6.2x+3y=12
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the pair of linear equations is consistent
Step-by-step explanation:
System of linear equations is consistent if there is at least one set of values of variables that satisfies each equation in the system
x + 3y = 6 ⇒ x = 6 - 3y ... (1)
2x + 3y = 12 ... (2)
(1) → (2)
2(6 - 3y) + 3y = 12 ⇒ y = 0
y → (1)
x = 6
The solution is only one point with coordinates (6, 0) ⇒ the given system is independent consistent.
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