Exploring the Substitution Method for Systems of Equations

What is the first step in solving the equation 5x - 3(3x - 1) = 19?

• Combine like terms

• Divide by -3

• Distribute the -3

• Add 3 to both sides

After distributing and combining like terms in the equation 5x - 3(3x - 1) = 19, what is the resulting equation?

• 5x - 3x - 1 = 19

• 5x - 9x + 3 = 19

• -4x + 3 = 19

• 5x - 3x + 1 = 19

In the substitution method, if 5x - 1 = y and 2x + 8 = y, what equation can be formed?

• 5x + 1 = 2x + 8

• 5x - 1 = 2x - 8

• 5x - 1 = 2x + 8

• 5x + 1 = 2x - 8

What is the solution to the system where 5x - 1 = y and 2x + 8 = y?

• x = 3, y = 14

• x = 2, y = 10

• x = 3, y = 10

• x = 2, y = 14

When solving a system where one equation is in standard form and the other in slope-intercept form, what is the first step?

• Set both equations equal to y

• Combine like terms

• Graph both equations

• Substitute the slope-intercept equation into the standard form equation

In the example where y = 3x - 2 and 2x + y = 4, what is the value of x?

• x = 4

• x = -4

• x = 2

• x = -2

In the system where y = 3x - 2 and 2x + y = 4, what is the value of y when x = 2?

• y = -4

• y = 8

• y = -8

• y = 4

In the example where y = x - 1 and 3x + 2y = 7, what is the value of x?

• x = 2

• x = -4

• x = -2

• x = 4

In the system where y = x - 1 and 3x + 2y = 7, what is the value of y when x = 4?

• y = -1

• y = 3

• y = -3

• y = 1

What is the next algebraic strategy for solving systems of equations that will be covered?

• Elimination method

• Substitution method

• Graphing method

• Matrix method