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lorasvet [3.4K]
3 years ago
8

Please Help Me On These Math Questions!!!!! Solve Each System By Elimination

Mathematics
2 answers:
nikdorinn [45]3 years ago
8 0
The complete answers are attached here.

nekit [7.7K]3 years ago
5 0
11) -x + y = -1 ; 2x - y = 0
y = -1 + x ; 2x - (-1+x) = 0 ⇒ 2x + 1 - x = 0 ⇒x = -1 
y = -1 + (-1) ⇒ y = -2

12) -2x + y = -20 ; 2x + y = 48
y = -20 + 2x ; 2x + (-20 + 2x) = 48 ⇒ 2x -20 + 2x = 48 ⇒ 4x = 48 + 20
                      4x = 68 ⇒ x = 68/4 ⇒ x = 17
y = -20 + 2(17) ⇒ y = -20 + 34 ⇒ y = 14

13) 3x -y = -2 ; -2x + y = 3
y = 3 + 2x ; 3x - (3 + 2x) = -2 ⇒ 3x - 3 - 2x = -2 ⇒ x = -2 + 3 ⇒ x = 1
y = 3 + 2(1) ⇒ y = 3 + 2 ⇒ y = 5

14) x - y = 4 ; x - 2y = 10
x = 4 + y ; (4 + y) - 2y = 10 ⇒ 4 + y - 2y = 10 ⇒ 4 - y = 10 
                  ⇒ -y = 10 - 4 ⇒ -y = 6 ⇒  y = -6
x = 4 + (-6) ⇒ x = 4 - 6 ⇒ x = -2

15) x + 2y = 5 ; 3x + 2y = 17
x = 5 - 2y ; 3(5-2y) + 2y = 17 ⇒ 15 - 6y + 2y = 17 ⇒ -4y = 17 - 15
               ⇒ -4y = 2 ⇒ y = -2/4 ⇒ y = -1/2
x = 5 - 2(-1/2) ⇒ x = 5 + 2/2 ⇒ x = 5 + 1 ⇒ x = 6 
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I hope this helps you!

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3 years ago
Convert a markup of 15% on selling price to its equivalent markup on cost.
spayn [35]

Answer:

option: D is correct. (  (D) a markup of 15% on selling price is equivalent to a 85% markup on cost ).

Step-by-step explanation:

" Markup is the percentage difference between a product's cost and its selling price "

Since we are asked to Convert a markup of 15% on selling price to its equivalent markup on cost.

As there is a markup of  15% on selling price. Hence the cost of the product would be (100-15)%=85% of the selling price.

<em>Hence, a markup of 15% on selling price is equivalent to a 85% markup on cost.</em>

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5 0
3 years ago
In kite ABCD, mZBAE = 28º and mZBCE = 58°. Find mZABE.<br> B<br> E<br> А<br> С<br> D<br> mLABE =
Digiron [165]

Answer:

m∠ABE = 62°

Step-by-step explanation:

Since, the given quadrilateral is a kite, diagonals will intersect at 90°.

Therefore, m∠AEB = m∠CEB = 90°

m∠BAE = 28° [Given]

m∠BCE = 58° [Given]

From ΔABE,

m∠BAE + m∠BEA + m∠ABE = 180°

28° + 90° + m∠ABE = 180°

m∠ABE = 180° - 118°

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Therefore, measure of angle ABE = 62°.

3 0
3 years ago
a pair of sunglasses is on sale for $26. The original price of the sunglasses was $40. What percent of the original price is the
Xelga [282]
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