Substitute Values into an Equation and Solve for a Variable

What is the first step to solve a system with substitution?

• Substitute the values found from the previous step into one of the original equations and solve for the remaining variable

• Solve the linear system for both its variables

• Solve one equation for one of its variables

• Substitute the expression from the previous step in the other two equations to obtain a linear system in two variables

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for r

• 5

• - 5, 4

• - 5

• 5, 4

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CCSS.HSA.REI.A.2

• 9

• 5

• -9

• -5

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CCSS.HSA.REI.A.2

• -1

• -2

• 1

• 2

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CCSS.HSA.REI.A.2

Solve for x. Choose ALL correct answers. 2x+\frac{3}{x+4}=x

• 1

• 3

• -1

• -3

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CCSS.HSA.REI.A.2

• because it ugly

• because when you plug it back in you get division by 0

• because when you plug it back in you get division by 0

• because it ugly

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CCSS.HSA.REI.A.2

Which of the following are the steps we take to solve a non-linear system of equations in two variables x and y using substitution?

• 1. Substitute one equation for the other.

  2. Solve the resulting equation for x.

  3. This is your solution.

• 1. Solve for y in one of the equations.

  2. Plug the expression you found for y into the other equation, and solve for x.

  3. Plug the values you found for x into either of the original equations to find the corresponding value of y for each value of x.

  4. These are your solutions.

• 1. Subtract one equation from the other equation.

  2. Substitute the resulting equation in for one of the original equations.

  3. Solve one of the equations in the new system for x.

  4. The value of x is the solution to the system.

• It is impossible to solve a non-linear system of equations in two variables with substitution.

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CCSS.HSA.REI.C.7

• (-3, 4)

• (2, -1)

• (3, -2)

• (-2, 3)

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CCSS.HSA.REI.C.7

Find the solution:
y = x² - 4x + 6
y = x + 2

• (3, 1) and (6, 4)

• (-1, 1) and (4, 2)

• (1, 3) and (4, 6)

• (1, 4) and (3, 6)

Tags

CCSS.HSA.REI.C.7

Solve for y.

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CCSS.6.EE.C.9