Algebra 2.. Please help!
2 answers:
Given
,
we can use Gaussian elimination to find the point of intersection.
Let's find a term we want to cancel. We could either multiply the first equation by 3 to cancel the x-terms, or multiply by 5 to cancel the y-terms.
We have now solved for x, but we need to find y. We can substitute our value for x back into any of the two equations.
So, the point is (28, 8).
Answer choice C.
If your teacher doesn't require you to show your work (and this tip is especially useful for the SAT and ACT), you can save a lot of time by simply plugging-in the solutions from the answer choices to see which one works.
we can use Gaussian elimination to find the point of intersection.
Let's find a term we want to cancel. We could either multiply the first equation by 3 to cancel the x-terms, or multiply by 5 to cancel the y-terms.
We have now solved for x, but we need to find y. We can substitute our value for x back into any of the two equations.
So, the point is (28, 8).
Answer choice C.
If your teacher doesn't require you to show your work (and this tip is especially useful for the SAT and ACT), you can save a lot of time by simply plugging-in the solutions from the answer choices to see which one works.
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First, we must find the common denominator (12) ✵
10/12-6/12 ✵ ✵ ✵ ✵
Now, why 10? ✵ ✵ ✵
Because we CAN'T just take the denominator and change it; we must change both the denominator AND the numerator:
✵ • - ○
4/12 ✧ ✩ ✶ ✺ ✱
We can simplify, or reduce, this fraction: ✱ ✱
1/3 ✩ ✦ ✤
I hope it helps!