NZ Level 8 (NZC) Level 3 (NCEA) [In development]
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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
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Consider the system of linear equations

$-3x-12y$3x12y $=$= $6$6
$-2x-4y$2x4y $=$= $-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

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