# TSI Math: Finding the Intersection of Two Lines

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Where do the lines 9x – 7y = 24 and 3x + y = -2 intersect?

Elementary Algebra and Functions | Linear Equations, Inequalities, and Systems |

Mathematics and Statistics Assessment | Linear Equations, Inequalities, and Systems |

Product Type | TSI |

TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |

TSI Math | Elementary Algebra and Functions |

TSI Mathematics | Elementary Algebra and Functions |

Test Prep | TSI |

### Transcript

cross paths somewhere Our job is to play matchmaker or

you know swiping right or left actually or both And

figure out where that point in space is It's Easier

to make predictions when we have less uncertainty So let's

start by canceling one of the variables Cancel acts using

the addition method first multiply both sides of the second

equation by negative three Got negative nine Acts minus 3

y is 6 The point of this step was to

make the x coefficient negative nine Now we add this

equation to the first one and the two coefficients while

these cancel out huge simplification here right through sim five

both sides When yet negative seven on y minus three

Why is a negative ten Y which is thirty Well

divide both sides by negative ten and we get why

is negative three All right well now we know negative

three is the y co ordinates of the points where

the lines intersect We still need to find the x

coordinate But all we have to do now is plug

y equals Negative three into the equation called three x

plus y is negative to so if we just do

that we get what is that three Acts plus negative

3 is negative too then had three to both sides

Get rid of that thing of everything They're three acts

is ah into luxury is one Then we divide both

sides by three and we get x is a third

well putting the x and y coordinates together Then we

see that the lines cross pass at the point One

third negative three and well that's answer See so that's

it and good luck romeo Good luck finding her And 00:01:56.983 --> [endTime] if you don't well yeah there's always tinder Oh