Solve two linear equations in x and y using elimination, exact fractions and checks in both original equations.
Useful to know
What can Smart Maths solve?
Exact arithmetic, fractions, polynomial expansion and simplification, linear equations, real quadratics, rational equations reducing to degree two, two linear equations in x and y, linear inequalities and percentages. Unsupported problems show a limitation message.
Can I practise without revealing the answer?
Learn reveals one step at a time. Practise checks supported equivalent intermediate steps. Challenge generates questions and marks equivalent rational answers. Radical answer entry is not supported yet.
Is this mapped to Kenyan grades or KICD-approved?
No. Difficulty labels describe this release, not official grades. Detailed curriculum mapping remains pending. Lessons can support independent learning but do not claim complete curriculum coverage.
Where are my files and inputs processed?
Maths questions and working are processed on this device and are not uploaded. Challenge score, completed count and difficulty can be saved only when you enable device saving. Saving starts off on each visit; turning it off or choosing Erase saved progress removes that record. Questions and answers are never saved. Reset clears current working, not optional saved progress.
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Maths learning notes
Satisfy two equations together
Intermediate · Prerequisite: Linear equations and signed arithmetic
A solution is a pair of values that satisfies both equations. Multiply the equations so one variable has matching coefficients, then subtract to eliminate it. Substitute your pair into both original equations.
Example: 2x + 3y = 12; x – y = 1
Common mistake: Changing a coefficient requires multiplying every term on both sides.
Independent practice: x + y = 9; x – y = 3
What should I check before moving on?
Changing a coefficient requires multiplying every term on both sides. Use the worked example, then attempt the independent practice without looking at the solution.
Difficulty labels are not official grade mappings. Detailed KICD alignment is pending; OnlineTools Kenya is not KICD-approved.