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Which Ordered Pair Is a Solution to the System of Linear Equations (1)/(2)x-(3)/(4)y=(11)/(60) and (2)/(5)x+(1)/(6)y=(3)/(10) ?

Soru

Which ordered pair is a solution to the system of linear equations (1)/(2)x-(3)/(4)y=(11)/(60) and (2)/(5)x+(1)/(6)y=(3)/(10) ? ((1)/(5),-(2)/(3)) ((1)/(5),(2)/(3)) ((2)/(3),-(1)/(5)) C ((2)/(3),(1)/(5))

Çözüm

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Profesyonel · 6 yıl öğretmeni

Cevap

To determine which ordered pair is a solution to the system of linear equations, we need to substitute each pair into both equations and see if they satisfy both equations.Let's start with the first pair: Substituting into the first equation: This is not true, so the first pair is not a solution.Next, let's try the second pair: Substituting into the first equation: This is also not true, so the second pair is not a solution.Now let's try the third pair: Substituting into the first equation: This is not true, so the third pair is not a solution.Finally, let's try the fourth pair: Substituting into the first equation: This is true, so the fourth pair is a solution.Therefore, the correct answer is C .