#5.1 Solving Systems of Linear Equations by Graphing

A system of linear equations is...

• a set of two or more linear equations in the same variable.

• a set of four linear equations using the variables x and y only.

• a table of values where the y values have a constant rate of change.

• none of these

A SOLUTION to a system of linear equations is....

• the x-value that is a solution to both equations

• the y-value that is a solution to both equations

• an ordered pair that is a solution to both equations

• none of these

Is the ordered pair a solution to the system?

• Yes

• No

Is the ordered pair a solution to the system?

• Yes

• No

What is the solution to this system?

• $\left(3,0\right)$

• $\left(0,3\right)$

• $\left(4,0\right)$

• $\left(0,4\right)$

What is the solution to this system?

• $\left(1,-2\right)$
  

• $\left(2,-4\right)$

• $\left(3,-6\right)$

• $\left(0.5,1\right)$

What is the solution to this system?

• $\left(-2,0\right)$

• $\left(0,-2\right)$

• $\left(4,0\right)$

• $\left(0,4\right)$

Solve the system by graphing.

• $\left(0,4\right)$

• $\left(-1,1\right)$

• $\left(4,8\right)$

• $\left(2,6\right)$
  

Solve the system by graphing

• $\left(0,3\right)$

• $\left(6,3\right)$

• $\left(-3,5\right)$

• $\left(-3,1\right)$

You sell bracelets for $2 each and necklaces for $3 each at a local flea market. You collect $95, selling a total of 37 jewelry items. Which system can be used to determine how many of each type of jewelry you sold?

• $2x+3y=37$
  $x+y=95$
  

• $2x+3y=95$
  $x+y=37$
  

• $2x=95$
  $3y=37$
  

• $y=2x+95$
  $y=3x+37$