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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.
Ишлатилган мисол · 2x + 3 = 7
Қадамма-қадам
- 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.
Жавобни кўрсатиш
Энди сизлар Мавзуни танланг, ёзинг ёки ўзингиз чизинг. Ҳар бир қадам, расм, жавоб сиз сўрагунча яширин.
Бепул ҳисоб ҳар бир дарсга ёзув қўшиб беради, сиз тугатган нарсалар ва ҳал қилинган масалалар бир жойда қайд этилади ва сиз бу саҳифа ҳақида устоздан сўрашингиз мумкин. Математика ўзида очиқ бўлиб, унга кириш ёки киришни истамаган ҳар кимга очиқ.
Ройхатдан ўтиш КиришБу ерда қўлланилган белгилар
Барча белгилар учун тўлиқ таъриф, сурат ва ҳар бир ҳарфнинг маъносини кўриш учун белгини босинг.
Қандай: 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.
Одамлар сўрайдиган саволлар
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.
Кўпроқ Algebra
Quadratic equationsSystems of equationsInequalitiesFactoringExpandingSimplifying expressionsFunctions and graphsExponential and logarithmic equationsPolynomial equationsAbsolute value