Elimination Method for Simultaneous Equations

The video tutorial introduces simultaneous equations, which are equations with multiple unknowns that need to be solved together. It explains three methods to solve them: graphically, by elimination, and by substitution. The focus is on solving linear equations using the elimination method, demonstrated through examples. The video emphasizes the importance of aligning equations and using the 'same sign subtract' rule. It concludes by highlighting that elimination is suitable for linear equations and introduces substitution for quadratic cases.

What are simultaneous equations?

• Equations with two or more unknowns that must be solved together

• Equations with one unknown

• Equations that can be solved independently

• Equations that only have graphical solutions

Which method is NOT mentioned for solving simultaneous equations?

• Graphical method

• Elimination method

• Substitution method

• Integration method

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

• Multiply the equations

• Subtract the equations

• Add the equations

• Divide the equations

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

• Substitute one equation into the other

• Multiply the equations by different numbers

• Line up the equations with variables and constants aligned

• Graph the equations

After finding the value of one variable using elimination, what is the next step?

• Check the solution by substituting back into the original equations

• Graph the solution

• Multiply the solution by a constant

• Ignore the other variable

What should you do if the coefficients of the variables are not equal in the elimination method?

• Ignore the coefficients

• Multiply the equations to make the coefficients equal

• Use a different method

• Add the equations directly

What is the result of solving the equations 5x + 2y = 18 and 3x - 2y = -2 using elimination?

• x = 4, y = 6

• x = 1, y = 2

• x = 2, y = 4

• x = 3, y = 5

What is the solution for x in the second example when using elimination?

• x = 1

• x = 2

• x = 3

• x = 4

What is the correct y value when x = 4 in the second example?

• y = -1

• y = -2

• y = -3

• y = -4

Why can't the elimination method be used for quadratic equations?

• It only works for linear equations

• It needs more variables

• It requires graphing

• It is too complex