Apply System of Equation

Which answer below shows the first step in solving the below system of equations using substitution?

• (4, 9)

• (9, 4)

• Infinitely Many Solutions

• No Solution

The below system of equations is setup nicely to use the _____ method.

• substitution

• elimination

The total cost of 2 bracelets and 3 necklaces is $15.50. The total cost of 4 bracelets and 1 necklace is $13.50. Let b represent the cost of each bracelet and n represent the cost of each necklace. This situation can be represented by the following system of equations.

Mathematical Equivalence

ON

Solve the following system of equations by graphing.

y = -x + 5

y = 6x - 2

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What is a system of equations?

• Three equations with one variable.

• One equation that can be solved.

• A set of things working together as parts of a mechanism or an interconnecting network

• Two (or more equations) that share variables.

What is the solution to a system? Choose all that apply.

• An ordered pair that makes both equations true.

• An ordered pair that makes one equation true.

• The point where the graphs meet (touch).

• The points on the graphs where they touch the y-axis.

What types of solutions are there when solving systems of equations? Select all that apply.

• One Solution

• Two Solutions

• No Solution

• Infinitely Many Solutions

• Three Solutions

What type of lines result in one solution when graphing a system of equations?

• parallel lines

• intersecting lines

• coinciding lines (lines that lie on top of one another)

• no lines

What type of lines result in no solution when you graph a system of equations?

• parallel lines

• intersecting lines

• coinciding lines (lines that lie on top of one another)

• no lines