Across
- 3. method The graphical method is one of the ways to find the solution of a pair of linear equations by plotting their corresponding lines.
- 4. A pair of linear equations is considered consistent if it has at least one solution, which means the lines are either intersecting or coincident.
- 7. The solution of a linear equation in two variables is a pair of values (x, y) that satisfies the equation, making the L.H.S equal to the R.H.S.
- 8. An equation is formed when an algebraic expression is set equal to another expression or a constant using an equal to sign.
- 10. lines If a pair of linear equations represents intersecting lines, they have a unique solution.
- 11. method The elimination method is an algebraic technique to solve a system of linear equations by eliminating one of the variables through addition or subtraction of the equations.
- 14. solution A pair of linear equations has a unique solution when their graphical representation shows intersecting lines
- 15. expression An algebraic expression is a combination of constants and variables connected by fundamental arithmetical operations.
Down
- 1. lines If a pair of linear equations represents parallel lines, they have no solution.
- 2. lines If a pair of linear equations represents coincident lines, they have infinitely many solutions.
- 5. method The substitution method is an algebraic technique where the value of one variable from one equation is substituted into the other equation to find the solution.
- 6. A pair of linear equations is considered inconsistent if it has no solution, which means the lines are parallel.
- 9. method The algebraic method involves techniques like substitution and elimination to find the solution of a pair of linear equations.
- 12. equation A linear equation is characterized by the highest power of its variable(s) being one.
- 13. A variable is a symbol, often a letter like X or Y, that represents an unknown value in an algebraic expression or equation.