AI School Solutions

Essay Writer

EssayMath

Most accurate Algebra Calculator
with step-by-step solutions

Math Solver

Paste in screenshots or type the problem below — support PDFs, photos. Upload one question at a time for best results.

What is algebra?

Algebra is the branch of mathematics that uses symbols—usually letters—to represent numbers and express general relationships. It’s the foundation for solving equations, modeling real‐world problems, and understanding functions.

Algebra formula

A classic example is the quadratic formula, which solvesax2+bx+c=0 ax^2 + bx + c = 0:

x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

How to solve an algebra problem step by step

Step 1: Translate the problem into an equation using symbols for unknowns.

Step 2: Simplify both sides: combine like terms and use the distributive property.

Step 3: Isolate the variable—use inverse operations (add/subtract, multiply/divide).

Step 4: Check your solution by plugging it back into the original equation.

Example 1: Solve 2x+5=152x + 5 = 15

2x+5=152x=10x=5 2x + 5 = 15 \\ 2x = 10 \\ x = 5

Example 2: Solve x2−5x+6=0x^2 - 5x + 6 = 0

x=5±(−5)2−4⋅1⋅62⋅1=5±25−242=5±12⇒x=3,  2 x = \frac{5 \pm \sqrt{(-5)^2 - 4 \cdot 1 \cdot 6}}{2 \cdot 1} = \frac{5 \pm \sqrt{25 - 24}}{2} = \frac{5 \pm 1}{2} \quad\Rightarrow\quad x = 3,\;2

Example 3: Solve the system{2x+3y=6x−y=1\begin{cases}2x + 3y = 6\\ x - y = 1\end{cases}

x−y=1  ⇒  x=y+12(y+1)+3y=6  ⇒  2y+2+3y=65y=4  ⇒  y=45,x=95 x - y = 1 \;\Rightarrow\; x = y + 1 \\ 2(y+1) + 3y = 6 \;\Rightarrow\; 2y + 2 + 3y = 6 \\ 5y = 4 \;\Rightarrow\; y = \tfrac{4}{5},\quad x = \tfrac{9}{5}

Tips & Tricks

  • Keep equations balanced: whatever you do to one side, do to the other.
  • Factor whenever possible to simplify quadratic and higher-degree problems.
  • Always check your solutions by substituting back into the original equation.

TRY FREE NOW, no sign-up required: Algebra Calculator from AI School Solutions gives you accurate & step-by-step solutions!

© 2025ai-school.solutions. All Rights Reserved.

  • Homepage
  • Others
  • Terms of Use
  • Privacy Policy