Substitution Method in Solving Systems of Equations

What is the main goal when solving a system of equations?

• To calculate the area between the lines

• To find the point where the lines intersect

• To determine the y-intercept

• To find the slope of the lines

In the substitution method, what is the first step after identifying the equations?

• Multiply the equations

• Add the equations together

• Substitute one equation into the other

• Graph the equations

What is the solution to the system of equations y = 3x - 2 and 5x + 4y = 26?

• (2, 4)

• (3, -2)

• (5, 15)

• (0, 6)

When using the substitution method, why is it recommended to choose the equation in slope-intercept form?

• It simplifies the substitution process

• It requires fewer calculations

• It is easier to graph

• It has a higher degree of accuracy

What is the solution to the system of equations 4x + 5y = 2 and y = 3x - 11?

• (2, 4)

• (3, -2)

• (0, 6)

• (5, 15)

What is the trick when both equations are in slope-intercept form?

• Multiply both equations by a factor

• Add a constant to both equations

• Graph both equations

• Set the equations equal to each other

What is the solution to the system of equations 7x - 20 = 12x - 45?

• (0, 6)

• (2, 4)

• (3, -2)

• (5, 15)

How do you handle an equation like y = 6 in a substitution problem?

• Add 6 to the other equation

• Ignore the equation

• Substitute 6 directly for y

• Graph it as a vertical line

What does the equation y = 2x imply about the y-intercept?

• The y-intercept is undefined

• The y-intercept is 2

• The y-intercept is 0

• The y-intercept is 1

In a substitution problem, what should you do if neither equation is ready for substitution?

• Multiply both equations by a constant

• Add both equations together

• Solve one equation for y or x

• Graph both equations