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2 years ago

Solve by elimination: x+y=5 3x + y= -11 Please explain the steps!!!

Mathematics

2 answers:

Firlakuza [10]2 years ago

7 0

Answer: x = -8, y = 13

Step-by-step explanation:

x+y=5

3x+y=-11

now subtract the two equations

x-3x+y-y=5-(-11)

-2x=16, x = -8

now substitute

-8 + y = 5, y = 13

mash [69]2 years ago

3 0

<h2>⚡Hello⚡</h2>

<h3>Solve</h3>

3×+3y=15

-3×-y=-11

2y=4

y=4÷2

Y=2

×+(2)=5

×=5-2

×=3

<h3>•Verification•</h3>

(3)+(2)=5

3+2=5

5=5

<h3>Equality Holds✔️</h3>

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Consider the sequence 6, 11, 16, 21 . . . . What is the 50th term in this sequence?

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Answer:

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3 years ago

Bobbie has 100 more followers than Debora. Write an expression that

alukav5142 [94]

Answer: x + 100

Step-by-step explanation:

From the question, we are told that Bobbie has 100 more followers than Debora and x is used to represent the number of followers that Debora has.

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4 0

3 years ago

two sides of a parallelogram meet at an angle of 50 degrees. If the length of one side is 3 meters and the length of the other s

Anon25 [30]

Answer:

The longer diagonal has a length of 7.3 meters.

The angles are 31.65° and 18.35°

Step-by-step explanation:

If one angle of the parallelogram is 50°, another angle is also 50° and the other two angles are the supplement of this angle. so the other three angles are:

50°, 130° and 130°.

The longer diagonal will be the one opposite to the bigger angle (130°), and this diagonal divides the parallelogram in two triangles.

Using the law of cosines in one of these two triangles, we have:

$diagonal^2 = a^2 + b^2 - 2ab*cos(130\°)$

$diagonal^2 = 3^2 + 5^2 - 2*3*5*(-0.6428)$

$diagonal^2 = 53.284$

$diagonal = 7.3\ meters$

So the longer diagonal has a length of 7.3 meters.

To find the angles that this diagonal forms with the sides, we can use the law of sines:

$a / sin(A) = b/sin(B)$

$5 / sin(A) = diagonal / sin(130)$

$sin(A) = 5 * sin(130) / 7.3$

$sin(A) = 0.5247$

$A = 31.65\°$

The other angle is B = 50 - 31.65 = 18.35°

Please check the image attached for better comprehension.

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3 years ago