Systems of Equations

Ontario 10 Applied (MFM2P)

Applications of linear systems

The sum of two numbers is $56$56 and their difference is $30$30.

a

Set up two equations by letting $x$`x` and $y$`y` be the two numbers.

Use $x$`x` as the larger of the 2 numbers.

Sum equation: | $\editable{}$ |

Difference equation: | $\editable{}$ |

b

First solve for $x$`x`

Equation 1 | $x+y=56$x+y=56 |

Equation 2 | $x-y=30$x−y=30 |

c

Now solve for $y$`y`

Easy

Approx 3 minutes

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Solve problems that arise from realistic situations described in words or represented by given linear systems of two equations involving two variables, by choosing an appropriate algebraic or graphical method