Topics
1. Equations
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AustraliaVIC
VCE 12 Methods 2023

1.02 Simultaneous equations

Lesson
Worksheet
Practice

Interactive practice questions

The following graph displays a system of two equations.

Write down the solution to the system in the form $\left(x,y\right)$(x,y).

Loading Graph...

The cartesian plane is marked from $-10$−10 to $10$10 on both $x$x- and $y$y-axes. Two lines are plotted on the plane and intersect at points ($6$6,$-3$−3).
Easy
< 1min

The following graph displays a system of two equations.

Easy
< 1min

The following graph displays a system of two equations.

Easy
< 1min

The equation $y=5x+3$y=5x+3 has been drawn on the graph below.

If a second line $y=mx+b$y=mx+b intersects this line at the point $\left(0,3\right)$(0,3), which of the following statements is true?

Easy
< 1min
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Outcomes

U34.AoS2.6

solution of simple systems of simultaneous linear equations, including consideration of cases where no solution or an infinite number of possible solutions exist (geometric interpretation only required for two equations in two variables).

U34.AoS2.8

analytical, graphical and numerical approaches to solving equations and the nature of corresponding solutions (real, exact or approximate) and the effect of domain restrictions

U34.AoS2.9

apply a range of analytical, graphical and numerical processes (including the algorithm for Newton’s method), as appropriate, to obtain general and specific solutions (exact or approximate) to equations (including literal equations) over a given domain and be able to verify solutions to a particular equation or equations over a given domain

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