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  1. Problems
  2. /Algebra
  3. /Pairs of Linear Equations

Pairs of Linear Equations

Mathematics
+ Upload a Problem
More in AlgebraLinear Equations in Two VariablesPairs of Linear EquationsPolynomialsAlgebraic Identities and FactorisationQuadratic EquationsSequences and SeriesLinear InequalitiesComplex NumbersPermutations and CombinationsBinomial TheoremMatrices and Determinants
10 problems
Type:
1.
A mother is 4 times as old as her daughter.
High School (9–10), General · Pairs of Linear EquationsStemPy LabStemPy Lab
Hard
2.
A boat goes 45 km downstream in 3 hours and 45 km upstream in 5 hours.
High School (9–10), General · Pairs of Linear EquationsStemPy LabStemPy Lab
Hard
3.
For which value of k does the pair 3x + ky = 7 and 6x + 15y = 5 have no solution?
High School (9–10), General · Pairs of Linear Equations, Linear Equations in Two VariablesStemPy LabStemPy Lab
Hard
4.
Two different straight lines can meet at one point, but never at two points.
High School (9–10), General · Pairs of Linear Equations, Linear Equations in Two VariablesStemPy LabStemPy Lab
Medium
5.
5 pens and 2 notebooks cost 34 dollars. 3 pens and 4 notebooks cost 40 dollars.
High School (9–10), General · Pairs of Linear EquationsStemPy LabStemPy Lab
Medium
6.
The sum of two numbers is 75. Three times the smaller number equals twice the larger.
High School (9–10), General · Pairs of Linear EquationsStemPy LabStemPy Lab
Medium
7.
Solve 5x + 3y = 31 and 2x - 3y = 4 by elimination.
High School (9–10), General · Pairs of Linear EquationsStemPy LabStemPy Lab
Medium
8.
Solve 2x + 3y = 21 and x - 2y = -7 by substitution. Check your answer.
High School (9–10), General · Pairs of Linear EquationsStemPy LabStemPy Lab
Medium
9.
Use the ratios, without solving, to find how many solutions each pair has.
High School (9–10), General · Pairs of Linear Equations, Linear Equations in Two VariablesStemPy LabStemPy Lab
Easy
10.
Draw the lines x + 2y = 9 and 3x - y = 6 on one graph.
High School (9–10), General · Pairs of Linear Equations, Linear Equations in Two VariablesStemPy LabStemPy Lab
Easy