AI Linear Equation Solver

AI Linear Equation Solver solves linear equations with one unknown, brackets and fractions showing a clear step-by-step solutions

AI linear equation solver is powered by MathCrave AI algorithms to solve

Linear equation with arithmetic operations

Linear equations with one unknown

Linear equations involving brackets

Linear equation involving fractions

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It does not contain an equal sign (=). For example,

**3x + 2y - 5 is an algebraic expression.**An algebraic equation, on the other hand, is a statement that two algebraic expressions are equal. It contains an equal sign (=) and can be solved to find the value(s) of the variables. For example,

**2x + 3 = 7 is an algebraic equation.**

A linear equation is an algebraic equation of degree 1, meaning the highest power of the variable is 1. To solve a linear equation, you isolate the variable on one side of the equation using inverse operations.

First, we add 5 to both sides to eliminate the -5:

3x - 5 + 5 = 7 + 5

3x = 12

Next, we divide both sides by 3 to isolate x:

(3x) / 3 = 12 / 3

x = 4

Therefore, the solution to the equation 3x - 5 = 7 is x = 4.

Linear equations can also involve brackets or parentheses to group terms.

First, we distribute the 2 to the terms inside the parentheses:

2

*3x + 2** 5 = 186x + 10 = 18

Next, we isolate the x-term by subtracting 10 from both sides:

6x + 10 - 10 = 18 - 10

6x = 8

Finally, we divide both sides by 6 to solve for x:

(6x) / 6 = 8 / 6

x = 4/3

Therefore, the solution to the equation 2(3x + 5) = 18 is

**x = 4/3.**

Linear equations can also involve fractions in the coefficients or variables.

First, we isolate the x-term by adding 3/4 to both sides:

(1/2)x - 3/4 + 3/4 = 1/8 + 3/4

(1/2)x = 11/8

Next, we multiply both sides by the reciprocal of

**1/2, which is 2/1**, or simply 2:(1/2)x

** 2 = (11/8)** 2x = 22/8

Simplify the fraction:

x = 11/4

Hence, the solution to the equation (1/2)x - 3/4 = 1/8 is

**x = 11/4.**

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