Mastering the Substitution Method for Linear Systems

What do we call the point where two non-parallel lines cross each other?

• Point of origin

• Point of divergence

• Point of intersection

• Point of parallelism

What is the simplest way to find the intersection point of two lines when given a graph?

• Count the grid squares

• Measure the angles

• Look for the point where they intersect

• Calculate the slopes

Why might drawing a graph by hand to find the intersection point be inaccurate?

• Because it only works for certain equations

• Because it can be difficult to draw perfectly

• Because it requires special tools

• Because it is time-consuming

What method is introduced to solve linear systems more accurately than graphing?

• Matrix method

• Substitution method

• Graphical method

• Elimination method

In the substitution method, what is the first step after choosing one of the equations?

• Multiply both sides by a constant

• Add the equations together

• Divide both sides by a constant

• Isolate one of the variables

What do you do after isolating a variable in the substitution method?

• Solve for the other variable

• Graph the equation

• Check for parallel lines

• Substitute it into the other equation

In the example, what is the value of x found using the substitution method?

• 1/3

• 1/5

• 1/2

• 1/4

What is the resulting value of y when x is 1/4 in the example?

• 4.5

• 3.5

• 3.0

• 4.0

What should you do to verify the solution found using the substitution method?

• Check if the values satisfy both original equations

• Graph the equations again

• Use a different method to solve

• Ask a teacher

What other method is suggested to learn for solving linear systems?

• Graphical method

• Matrix method

• Elimination method

• Trial and error method