maths.free › Algebra › Linear equations
Linear equations
Isolate the unknown by doing the same thing to both sides.
A linear equation has the unknown to the first power only. Solving it is a sequence of legal moves (add, subtract, multiply or divide both sides by the same thing) chosen to leave the unknown alone. The graph shows the line y = 2x + 3 − 7; the solution is where it crosses the axis.
Shembulli i punuar · 2x + 3 = 7
Hap pas hapi
- 2 x + 3 = 7
Start from the equation as given.
- 2 x - 4 = 0
Bring everything to one side and collect like terms so the right-hand side is 0.
- 2 x = 4
Move the constant term to the other side: subtract -4 from both sides.
- x = \frac{4}{2}
Divide both sides by 2, the coefficient of x.
- x = 2
Simplify the fraction.
Zbulo përgjigjen
Tani ti. Zgjidh një problem, shkruaj apo vizato tënd. Çdo hap, një imazh, përgjigja e fshehur deri sa të pyesësh.
Një llogari e lirë shtohet shënime në çdo mësim, një regjistrim të asaj që ju keni përfunduar, problemet tuaja të zgjidhura në një vend, dhe një mësues që ju mund të pyesni rreth kësaj faqeje. Matematika vetë është e hapur për të gjithë, të regjistruar apo jo.
Regjistrohu HyrSimbolet e përdorura këtu
Prek çdo simbol për përkufizimin e plotë, një fotografi dhe se çfarë do të thotë çdo shkronjë në të.
Si: Linear equations
- Start from the equation as given.
- Bring everything to one side and collect like terms so the right-hand side is 0.
- Move the constant term to the other side: subtract -4 from both sides.
- Divide both sides by 2, the coefficient of x.
- Simplify the fraction.
Pyetja që bëjnë njerëzit
What does it mean to solve an equation?
To find every value of the unknown that makes both sides equal. Each step is an operation applied to both sides that keeps the solution set the same, until the unknown stands alone.
Why do I sometimes get two answers?
A quadratic can cross the axis twice, so it can have two solutions. A degree-n polynomial has up to n. The graph shows where each one comes from.
How do I know whether to factor or use the quadratic formula?
Try factoring for a few seconds: look for two numbers that multiply to a·c and add to b. If nothing obvious appears, the discriminant b² − 4ac tells you how many real roots there are, and the formula finds them without guessing.
Më shumë në Algebra
Quadratic equationsSystems of equationsInequalitiesFactoringExpandingSimplifying expressionsFunctions and graphsExponential and logarithmic equationsPolynomial equationsAbsolute value