Solving Systems of Equations with Substitution

What is the purpose of using substitution in solving systems of equations?

• To simplify the equations to linear forms

• To find the values of x and y that satisfy both equations

• To eliminate one of the variables

• To graph the equations

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which equation is selected for substitution and why?

• 2x + 2y = 24, because y is isolated

• y = 4x + 2, because y is isolated

• 2x + 2y = 24, because it is simpler

• y = 4x + 2, because x is isolated

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the result of substituting y = 4x + 2 into 2x + 2y = 24?

• 8x + 4x + 2 = 24

• 2x + 4x + 2 = 24

• 2x + 8x + 4 = 24

• 4x + 2x + 2 = 24

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• Graph the equation

• Subtract 4 from both sides

• Divide by the coefficient of x

• Combine like terms

Tags

CCSS.7.EE.B.4A

How do you solve for x in the equation 10x + 4 = 24?

• Subtract 4 and divide by 10

• Multiply by 10 and add 4

• Divide by 4 and subtract 10

• Add 4 and divide by 10

Tags

CCSS.7.EE.B.4A

What value of x is obtained from the equation 10x = 20?

• x = 0.5

• x = 2

• x = 10

• x = 20

Tags

CCSS.6.EE.B.7

After finding x = 2, which equation is used to find y?

• y = 4x + 2

• y = 2x + 4

• 2x + 2y = 24

• 2x + y = 24

What is the value of y when x = 2 is substituted back into the equation?

• y = 4

• y = 6

• y = 8

• y = 10

What are the ordered pairs that solve the system of equations?

• (x = 10, y = 10)

• (x = 2, y = 2)

• (x = 10, y = 2)

• (x = 2, y = 10)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What method is demonstrated in the video to solve the system of equations?

• Substitution

• Elimination

• Matrix method

• Graphing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6