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Class 10MathematicsPair of Linear Equations in Two VariablesAlgebraic methods: Substitution method and Elimination method.ExpertLevel 57
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If (0.3x+0.2y=3.1) and (0.6x-0.2y=2.3), what is the value of (x)?

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Answer and explanation

Correct answer: 6

Multiplying both equations by 10 gives \(3x+2y=31\) and \(6x-2y=23\). Adding these equations eliminates \(y\): \(9x=54\), so \(x=6\). Therefore, option C is correct. In an exam, first clear the decimals and then eliminate the variable whose coefficients are opposites.

Related tags

Pair Of Linear EquationsSubstitution MethodElimination MethodDecimal EquationsClass 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

6

Why is this the correct answer?

Multiplying both equations by 10 gives \(3x+2y=31\) and \(6x-2y=23\). Adding these equations eliminates \(y\): \(9x=54\), so \(x=6\). Therefore, option C is correct. In an exam, first clear the decimals and then eliminate the variable whose coefficients are opposites.

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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10 more MCQs
  1. 1In the equation \(2x-y=4\), what is the value of \(y\) when \(x=3\)?
  2. 2Which equation is obtained by simplifying (6x+3y=12)?
  3. 3What is the point of intersection of the lines \(4x+3y=34\) and \(4x-y=10\)?
  4. 4If the lines \(x+y=9\) and \(kx+3y=23\) both pass through the point \(\left(4,5\right)\), what is the value of \(k\)?
  5. 5While solving a pair of linear equations in two variables by the elimination method, in which situation can one variable be eliminated directly?
  6. 6What is the \(x\)-coordinate of the point of intersection of the lines \(4x+5y=31\) and \(3x-2y=1\)?
  7. 7If the two lines have a unique point of intersection (r,s) that satisfies (3r+s=19) and (r-s=1), what is the value of (r+s)?
  8. 8If the unique point of intersection of two lines is (r,s) and the lines are represented by (4r+s=29) and (r-s=1), what is the value of (r+s)?
  9. 9What is the solution of the equations (x+y=5) and (x-y=1)?
  10. 10In the equations (2x+y=7) and (x=2), what is the value of (y)?
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