New Zealand
Level 8 - NCEA Level 3

# Mixed Problems on Systems of Equations

## Interactive practice questions

The graphical solution of a system of two linear equations can be described as:

The point of intersection of two lines.

A

Any point that is at an equal distance from two lines.

B

The angle between two lines at their point of intersection.

C

The distance between the $y$y-intercepts of two lines.

D

The point of intersection of two lines.

A

Any point that is at an equal distance from two lines.

B

The angle between two lines at their point of intersection.

C

The distance between the $y$y-intercepts of two lines.

D
Easy
Less than a minute

Consider the system of linear equations

 $-3x-12y$−3x−12y $=$= $6$6 $-2x-4y$−2x−4y $=$= $-4$−4

Consider the system of linear equations

 $4x+4y$4x+4y $=$= $6$6 $5x+3y$5x+3y $=$= $3$3

Consider the equations $y=3x-1$y=3x1 and $y=-5x+23$y=5x+23.

### Outcomes

#### M8-8

Form and use systems of simultaneous equations, including three linear equations and three variables, and interpret the solutions in context

#### 91587

Apply systems of simultaneous equations in solving problems