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Australia
Year 10

2.07 Solving simultaneous equations graphically

Interactive practice questions

The following graph displays a system of two equations.

Loading Graph...

a

How many solutions does this system of equations have?

One solution.

A

Infinitely many solutions.

B

No solutions.

C
b

Write down the solution to the system of equations as an ordered pair $\left(x,y\right)$(x,y).

Easy
< 1min

The following graph displays a system of two equations.

Easy
< 1min

The equation $y=3x+2$y=3x+2 has been drawn on the graph below.

If a second line $y=mx+b$y=mx+b intersects this line at the point $\left(0,2\right)$(0,2), which of the following statements is true?

Easy
< 1min

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).

Easy
< 1min
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Outcomes

ACMNA236

Solve linear inequalities and graph their solutions on a number line

ACMNA237

Solve linear simultaneous equations, using algebraic and graphical techniques, including using digital technology

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