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ACT Math: Trigonometry Drill 1, Problem 1. What is the length of y?
ACT Math: Coordinate Geometry Drill 1, Problem 2. Solve the inequality and determine which solution is shown on the number line.
ACT Math 3.5 Intermediate Algebra 292 Views
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Description:
ACT Math Intermediate Algebra Drill 3, Problem 5. Solve this system.
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
Full Transcript
- 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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