Simultaneous Equations By Elimination

The video tutorial explains simultaneous equations, which are equations with multiple unknowns that need to be solved together. It introduces three methods for solving them: graphically, by elimination, and by substitution. The focus is on solving linear equations using the elimination method, demonstrated through examples. The tutorial emphasizes the importance of aligning terms and using addition or subtraction to eliminate variables. It concludes with a brief mention of the substitution method for non-linear equations.

What are simultaneous equations?

• Equations that can only be solved graphically

• Equations with two or more unknowns that need to be solved together

• Equations with one unknown variable

• Equations that must be solved one after the other

Which method is NOT mentioned as a way to solve simultaneous equations?

• Integration method

• Substitution method

• Elimination method

• Graphical method

What is the first step in solving simultaneous equations using the elimination method?

• Graph the equations

• Line up the equations with variables and numbers aligned

• Multiply the equations by different numbers

• Substitute one equation into the other

When using the elimination method, what should you do if the signs of the terms to be eliminated are the same?

• Add the equations

• Multiply the equations

• Divide the equations

• Subtract the equations

In the second example, what is the purpose of multiplying the equations by different numbers?

• To change the signs of the variables

• To simplify the equations

• To align the coefficients of one variable for elimination

• To make the equations more complex

What is the solution for x in the second example after elimination?

• x = 2

• x = 0

• x = -1

• x = 4

Why might the elimination method not work for certain equations?

• It only works with equations having the same coefficients

• It is too complex for linear equations

• It requires graphing skills

• It does not work with quadratic equations