Algebra · Chapter 2 of 20

Linear equations

18 curated · 0 from open sources

Before you startAI-drafted · not yet reviewed by an editor

To solve a linear equation, isolate the variable $x$ by doing the same operation to both sides. First simplify each side: distribute to remove parentheses and combine like terms. Then move all terms containing $x$ to one side and all constant terms to the other by adding or subtracting. Finally divide by the coefficient of $x$ . For example, if you reach $4 x = 12$ , divide both sides by $4$ to get $x = 3$ . Check your answer by substituting it back into the original equation.

All Easy Medium Deep

Curated

#	Title	Difficulty	Tags
935	Cyclic Sum Ratio Identity	Deep	ratiocyclic symmetry+1
940	Eliminant of a symmetric system	Deep	determinantsymmetry
942	Quadratic ratios from cyclic definitions	Deep	cyclic equationsratios
948	Relations among three fractional expressions	Deep	rationalisationsymmetry
965	Prove proportion identity	Deep	ProportionalityAlgebraic manipulation
966	Continued proportion identity	Deep	Continued proportionAlgebraic identities
995	Planetary Attraction and Satellite Revolutions	Deep	ProportionalityAstrophysical formulas
1201	Product of $2n$ factors with omega	Deep	Cube roots of unityProducts of sequences
1298	Homogeneous Radical Equation	Deep	Homogeneous equationsFractional exponents
1299	Radical Equation with Parameters	Deep	Radical equationsAlgebraic manipulation
1430	Product of adjacent binomial coefficients	Deep	Binomial TheoremAlgebraic Manipulation
1433	Sum of products of binomial coefficients	Deep	Binomial TheoremCombinatorial Identities
1496	Middle Term Coefficient Identity	Deep	Binomial TheoremCoefficient Extraction
1497	Expansion Form of Cubic Power	Deep	Binomial TheoremSeries Expansion
1503	Quadratic form ratios	Deep	determinantssymmetry
1504	Product identity for cofactors	Deep	determinantscofactor identity
1533	Sum of Squares of Alternating Coefficients	Deep	Binomial TheoremCauchy Product
1897	A joint work problem	Deep	Simultaneous equationsRate problems