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6.04 Simultaneous equations

Interactive practice questions

The following graph displays a system of two equations.

 

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Two parallel lines are plotted in a number plane. The line on the left intersects the x-axis at point (-3,0), and the y-axis at point (0, 3). The line on the right intersects the x-axis at point (1, 0), and the y-axis at point (0,-1)

How many solutions does this system of equations have?

No solutions

A

One solution

B

Infinitely many solutions

C
Easy
< 1min

Consider the following linear equations:

$y=5x-7$y=5x7 and $y=-x+5$y=x+5

Easy
2min

We want to solve the following system of equations using the substitution method.

Equation 1 $y=5x+34$y=5x+34
Equation 2 $y=3x+18$y=3x+18
Easy
3min

We want to solve the following system of equations using the substitution method.

Medium
3min
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Outcomes

MA11-1

uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

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