mallyosburn
17.10.2019 •
Mathematics
Solve the system using substitution. show all work.
y = x - 5
3x - y = 7
solve the system using the linear combination method. show all work.
2x + 2y = 12
3x + y = 2
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Ответ:
Step-by-step explanation:
y = x - 5 ← x - 5 can be subbed for y in the second equation, as shown:
3x - y = 7 → 3x - (x - 5) = 7, or 2x + 5 = 7, or 2x = 2, or x = 1.
Subbing 1 for x in the first equation, we get y = 1 - 5 = -4,
and so the solution is (1, -4).
Second system:
2x + 2y = 12
3x + y = 2
Let's eliminate y first. Mult. the 2nd equation by -2, obtaining:
2x + 2y = 12
-6x - 2y = -4
-4x = 8, and so x = -2. Subbing -2 for x in the 2nd equation, we get:
3(-2) + y = 2, or -6 + y = 2, or y = 8
Then the solution to the second system of equations is (-2, 8).
Ответ:
Straight Angle: ∠FEN
Vertical Angles: ∠CDA and ∠EDK
Acute Angles: ∠FED and ∠PKH
Step-by-step explanation:
You can look at the angles and determine whether they are acute, obtuse, or a straight line. Not much explanation can be given for identification of angles unless you have a protractor and it deems that you have to prove it.