AimMent

For Class 8, 9 & 10

Foundation - a strong base in Physics, Chemistry, Maths & Biology

Concept-first questions with clear model answers across all four subjects, aligned to NCERT. Start early, build the habit, and walk into your board exams, NEET and JEE already ahead.

Class 824Class 924Class 1036
SubjectAllPhysics 19Chemistry 19Biology 19Mathematics 27
ChapterAllAcids, Bases and SaltsArithmetic ProgressionsCarbon and its CompoundsChemical Reactions and EquationsCirclesControl and CoordinationCoordinate GeometryElectricityHeredity and EvolutionHow do Organisms ReproduceIntroduction to TrigonometryLife ProcessesLight - Reflection and RefractionMagnetic Effects of Electric CurrentMetals and Non-metalsOur EnvironmentPair of Linear Equations in Two VariablesPolynomialsProbabilityQuadratic EquationsReal NumbersSome Applications of TrigonometryStatisticsSurface Areas and VolumesThe Human Eye and the Colourful WorldTriangles

Showing 1 question for Class 10. Tap a card to reveal the answer.

MathematicsPair of Linear Equations in Two Variablesmedium

Solve the pair of equations: 2x + 3y = 13 and x - y = -1.

Reveal answer ↓

What it is

Two linear equations meet at one point - the (x, y) that satisfies both at once.

Answer

From the second equation, x = y - 1. Substitute into the first: 2(y - 1) + 3y = 13, so 5y - 2 = 13, giving 5y = 15 and y = 3. Then x = y - 1 = 2. Solution: x = 2, y = 3.

Substitution: express one variable, substitute into the other

  • •x = y - 1 from second equation
  • •2(y-1) + 3y = 13 -> 5y = 15
  • •y = 3, x = 2

Why learn this

It solves 'two unknowns' problems: prices, mixtures, speed-time and business break-even.

💡 Memory trick

Substitution: make one variable the subject, then plug it into the other equation.