What is the solution of (\frac{2x}{3}+\frac{y}{4}=5) and (\frac{x}{2}-\frac{y}{3}=1)?
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Answer and explanation
Correct answer: (x=\frac{138}{25},\ y=\frac{132}{25})
After clearing denominators, the equations become (8x+3y=60) and (3x-2y=6). Elimination gives (x=\frac{138}{25},\ y=\frac{132}{25}).
Frequently asked questions
What is the correct answer to this question?
(x=\frac{138}{25},\ y=\frac{132}{25})
Why is this the correct answer?
After clearing denominators, the equations become (8x+3y=60) and (3x-2y=6). Elimination gives (x=\frac{138}{25},\ y=\frac{132}{25}).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Algebraic methods: Substitution method and Elimination method..
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