Solving Simultaneous Equations by Substitution

What is the solution to a system of equations where the lines intersect?

• The point where the lines are parallel

• The point where the lines intersect

• The point where the lines are perpendicular

• The point where the lines are tangent

What do we call a system of equations with no intersection point?

• Consistent

• Dependent

• Inconsistent

• Independent

Why is substitution used instead of graphing to solve systems of equations?

• Graphing is always more accurate

• Substitution is easier to visualize

• Graphing is faster

• Substitution provides an exact solution

In the substitution method, what is the first step?

• Add the equations together

• Multiply both equations

• Solve one equation for one variable

• Graph the equations

What is the solution to the system of equations y = 4x and x + y = 10?

• (1, 9)

• (4, 6)

• (3, 7)

• (2, 8)

What is the x-value of the intersection point in the example where x = 7/2?

• 2.5

• 1.5

• 3.5

• 4.5

How do you find the y-value after finding the x-value in substitution?

• Divide the x-value by 2

• Multiply the x-value by 2

• Graph the equations

• Substitute the x-value back into one of the original equations

What does it mean if you get an impossible equation like 2 = -2 when solving a system?

• The system is consistent

• The system has infinite solutions

• The system is inconsistent

• The system has a unique solution

What is the implication of parallel lines in a system of equations?

• They intersect at one point

• They have no intersection point

• They intersect at multiple points

• They are the same line

What should you do if you encounter fractions while solving by substitution?

• Ignore the fractions

• Convert them to decimals

• Multiply by a common denominator

• Handle the fractions carefully