Solving Systems of Equations with the Elimination Method

What is the main goal when solving systems of equations?

• To find the point where the lines intersect.

• To find the slope of the lines.

• To find the y-intercept of the lines.

• To determine if the lines are parallel.

What is the first step in the substitution method?

• Isolate the variable.

• Multiply both sides by a constant.

• Write the equations side-by-side.

• Add the equations together.

Which variable is easier to isolate in the given equations?

• Neither can be isolated

• Both are equally easy

• Y

• X

What happens when you multiply both sides of an equation by -1?

• The variable is eliminated.

• The equation becomes unsolvable.

• The equation remains the same.

• The signs of all terms change.

After isolating Y, what do you substitute in its place?

• x + 4

• 3x - 2

• 4x + 2

• 2x - 4

What is the value of X after solving the equation 2x + 3 = 12?

• 6

• 5

• 4

• 3

What is the next step after finding the value of X?

• Isolate another variable.

• Multiply both sides by a constant.

• Substitute X back into one of the original equations.

• Add the equations together.

What is the value of Y when X is 3?

• 2

• 4

• 8

• 6

What is the significance of the point (3, 2)?

• It is the point where the two lines intersect.

• It is the y-intercept of the lines.

• It is the slope of the lines.

• It is the midpoint of the lines.

What is the benefit of verifying the solution?

• You can be sure the answer is correct before submitting.

• It finds the y-intercept of the lines.

• It helps to find the slope of the lines.

• It determines if the lines are parallel.