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1.01 Introduction to simultaneous 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

How can we know whether a given ordered pair is a solution of a system of equations?

Easy
1min

Consider the system of equations:

$y$y $=$= $x$x $+$+ $4$4
$y$y $=$= $2x$2x $+$+ $1$1
Medium
< 1min

Consider the system of equations:

$y=x-8$y=x8

$y=-2x+1$y=2x+1

Medium
1min
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Outcomes

MS2-12-1

uses detailed algebraic and graphical techniques to critically evaluate and construct arguments in a range of familiar and unfamiliar contexts

MS2-12-6

solves problems by representing the relationships between changing quantities in algebraic and graphical forms

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