Substitution Method in Algebra

The video tutorial explains the substitution method for solving systems of equations. It begins by introducing the concept of substitution, where one variable is replaced with an expression involving another variable. The tutorial then demonstrates how to solve for Y by substituting the expression for X into the equation. After finding the value of Y, the video shows how to use this value to find X. The tutorial concludes by summarizing the process and presenting the solution as a coordinate point.

What is the first step in the substitution method?

• Solve for the remaining variable.

• Isolate one of the variables.

• Combine like terms.

• Substitute the value into the equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Why is it important to isolate a variable in the substitution method?

• To eliminate the variable.

• To simplify the equation.

• To easily substitute it into the other equation.

• To make the equation more complex.

What do you substitute for X in the equation if X = -y + 3?

• 3

• -3

• -y + 3

• y - 3

What is the result of substituting -y + 3 for X in the equation 3X + y = -3?

• 3(-y + 3) + y = -3

• 3(y - 3) + y = -3

• 3(y + 3) + y = -3

• 3(-y - 3) + y = -3

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CCSS.7.EE.B.4A

What is the next step after substituting and simplifying the equation?

• Combine like terms.

• Divide by the coefficient.

• Substitute the value back.

• Isolate the variable.

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CCSS.7.EE.A.1

What is the combined form of -3y + y?

• -2y

• 2y

• -4y

• 4y

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CCSS.6.EE.B.7

What is the value of y if -2y = -12?

• -6

• 6

• 12

• -12

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How do you find the value of X after finding y?

• Divide by the coefficient.

• Isolate the variable.

• Combine like terms.

• Substitute y back into the original equation.

What is the value of X if y = 6 and the equation is X = -y + 3?

• -3

• 3

• -9

• 9

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How would you write the solution as a point?

• (6, -3)

• (3, -6)

• (-6, 3)

• (-3, 6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6