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9.04 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

We are going to determine whether the point $\left(5,2\right)$(5,2) is a solution of the system of equations:

$x+y=7$x+y=7

$x-y=3$xy=3

Easy
2min

We are going to determine whether the point $\left(4,17\right)$(4,17) is a solution of the system of equations:

$y=6x-7$y=6x7

$4x+3y=67$4x+3y=67

Easy
1min

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

Easy
1min
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Outcomes

2.3.7

solve a pair of simultaneous linear equations graphically or algebraically, using technology when appropriate

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