Solving Systems of Linear Equations with Substitution

What is the first step in solving equations using the substitution method?

• Multiply both sides by a common factor

• Find the least common multiple

• Substitute one variable into another equation

• Combine like terms

After finding x = 3 in the first example, how do you find y?

• Substitute x into y = 2x + 8

• Multiply x by 2

• Substitute x into y = 5x - 1

• Add 8 to x

How do you eliminate fractions in an equation?

• Subtract the numerators

• Multiply by the least common multiple

• Divide by the greatest common divisor

• Add the denominators

What is the least common multiple of 2, 3, and 4?

• 36

• 6

• 12

• 24

What is the result of substituting y = 3x - 3 into 2x + 5y = 19?

• 2x + 5(3x - 3) = 19

• 5x - 3x + 19

• 2x + 5x - 3 = 19

• 2x + 15x - 15 = 19

What is the value of x when solving 2x + 5(3x - 3) = 19?

• 4

• 5

• 3

• 2

What is the value of y when x = 4 in the equation y = 1/2x + 1?

• 1

• 2

• 3

• 4

What is the correct ordered pair solution for the equation set where 2x + 5y = 19 and y = 3x - 3?

• (4, 5)

• (5, 4)

• (3, 2)

• (2, 3)

In the equation x + y + z = 6, if z = x + 2 and y = 2x, what is the value of x?

• 1

• 4

• 2

• 3

How do you solve for z in the equation x + y + z = 6, given x and y?

• Multiply x and y

• Subtract x from y

• Substitute x and y values into z = x + 2

• Add x and y