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ACT Math 3.5 Intermediate Algebra 292 Views


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Description:

ACT Math Intermediate Algebra Drill 3, Problem 5. Solve this system.

Language:
English Language

Transcript

00:02

Here's your shmoop du jour, extra crackers included...

00:07

Solve this system: 3x - y = 2 6x - 2y = 5

00:13

And here are the potential answers...

00:17

OK so whenever we're given two equations and

00:20

are told to solve the system, we're actually trying to solve for the point of intersection

00:25

of the two equations.

00:27

Elimination is one method of solving equations, so let's try that first.

00:32

Multiply the first equation by 2... and we get 6x minus 2y equals 4.

00:40

But wait... that looks almost exactly the second equation, except the 4 isn't a 5.

00:45

What does that mean?

00:46

Well, whenever we see that two equations in standard form have the same coefficients in

00:56

front of their variables, we know that these two lines are parallel.

01:01

If two lines are parallel, they have no point of intersection... so there is no solution

01:05

for this problem.

01:06

Looks like E's our answer.

01:09

Drive safe, and watch those points of intersection, everyone.

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