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Aleksandr [31]
3 years ago
14

Solve 3x + y = -5 -2x + 3y = 18 with the substitution method PLEASE HELPPPP

Mathematics
1 answer:
valina [46]3 years ago
5 0

Hey! Great to see you again.

Based on what we learned last time, we can apply it to this equation!

Solve 3x+y =−5 for y:

3x+y=−5

3x+y+−3x=−5+−3x Let us add -3x to both sides.

y=−3x−5.

Substitute −3x−5 for y in −2x+3y=18:

−2x+3y=18

−2x+3(−3x−5)=18

−11x−15=18 Simplify both sides :)

−11x−15+15=18+15 Add 15 to each side.

−11x=33

x = -3

Now solve for y.

−3 for x in y=−3x−5:

y=(−3)(−3)−5

Can you solve this equation? Let me know if you need help, tell me what you get! :) That will be your y answer. :D

Have a great one!

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5/8 divided by 3/4 what the answer
charle [14.2K]

Answer:

20/24. Simplified answer is 5/6

Step-by-step explanation:

5/8 divided by 3/4 is the same as asking 5/8 times 4/3

When dividing a number by a fraction, you can always just multiply by the fraction with its numerator and denominator switched!

So, now we have 5/8 times 4/3

Step 1: Multiply the numerators together. 5 times 4 = 20

Step 2: Multiply the denominators together. 8 times 3 = 24

Step 3: Put the new numerator over the new denominator. 20 over 24 is 20/24

Step 4: Simplify the fraction if necessary. 20 and 24 share a common factor of 4, so divide both the numerator and denominator by 4.  

20 divided by 4 = 5

24 divided by 4 = 6

So, 20/24 is equal to 5/6.

7 0
3 years ago
What is the approximate area of the shaded portion of the diagram? (Use 3.14 as an estimate for pi.)
Nadusha1986 [10]

Answer:

218

Step-by-step explanation:

first find the area of the circle-

A=\pi r^{2} \\A=\pi 10^{2} \\A=100\pi \\A=314

to find the area of the triangle, we need the base and the height. The base we know is 16, since we don't know the height yet, use the Pythagorean theorem to find the height. One leg is 16 the hypotenuse is 20 (2* the radius).

a^{2} +b^{2} =c^{2} \\a^{2} +16^{2} =20^{2} \\a^{2} +256=400\\a^{2} =144\\a=12

Now I know the height is 12. Find the area of the triangle

A=\frac{1}{2} bh\\A=\frac{1}{2} (16)(20)\\A=96

subtract the area of the triangle from the area of the circle

314-96=218

6 0
3 years ago
Eight basketball players are to be selected to play in a special game. The players will be selected from a list of 27 players. I
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3.3 % chance that will randomly pick tallest
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antiseptic1488 [7]

Answer: 123

Step-by-step explanation: Stop cheating idiot

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What is the measure of f in the figure shown?
SCORPION-xisa [38]

Answer:

The measure of angle f is 61°

Step-by-step explanation:

A straight line is 180° meaning;

180 - 98 = 82

82 is the angle measure of the unlabeled angle.

All triangles angles add up to 180° meaning;

37 + 82 = 119

180 - 119 = 61°

5 0
3 years ago
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