New Zealand
Level 6 - NCEA Level 1

# 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
Easy
< 1min

Consider the system of linear equations

 $-3x-12y$−3x−12y $=$= $6$6 $-2x-4y$−2x−4y $=$= $-4$−4
Easy
< 1min

Consider the system of linear equations

 $4x+4y$4x+4y $=$= $6$6 $5x+3y$5x+3y $=$= $3$3
Easy
< 1min

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

Easy
3min

### Outcomes

#### NA6-5

Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns

#### NA6-7

Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns

#### 91027

Apply algebraic procedures in solving problems

#### 91028

Investigate relationships between tables, equations and graphs