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Sergio [31]
2 years ago
12

Use elimination to find the solution to the system of equations. 4x+2y=34 5x-6y=34

Mathematics
2 answers:
Colt1911 [192]2 years ago
7 0

Answer:

Let's solve for x.

4x+2y=345x−6y

Step 1: Add -345x to both sides.

4x+2y+−345x=345x−6y+−345x

−341x+2y=−6y

Step 2: Add -2y to both sides.

−341x+2y+−2y=−6y+−2y

−341x=−8y

Step 3: Divide both sides by -341.

−341x

−341

=

−8y

−341

x=

8

341

y

Step-by-step explanation:

NISA [10]2 years ago
7 0

Answer:

<h3>x=8 and y=1</h3>

Step-by-step explanation:

4x+2y=34;5x−6y=34

Step: Solve 4x+2y=34 for x:

4x+2y=34

4x+2y+−2y=34+−2y(Add -2y to both sides)

4x=−2y+34

4x 4 =−2y+34 4

(Divide both sides by 4)

x=−1/2y+17/2

Step: Substitute

−1/2y+17/2

solve for x in 5x−6y=34:

5x−6y=34

5(−1/2y+17/2)−6y=34

−17/2y+85/2=34(Simplify both sides of the equation)

−17/2y+85/2+−85/2=34+−85/2

(Add (-85)/2 to both sides)

−17/2

y=−17/2/−17/2y−17/2=−17/2/−17/2

(Divide both sides by (-17)/2)

<em>y=1</em>

Step: Substitute 1 for y in

x=−1//2y+17/2:

x=−1/2y+17/2

x=−1/2(1)+17/2

<em>x=8</em> (Simplify both sides of the equation)

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The hypothesis test shows that we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%

<h3>What is the claim that the return rate is less than 20% by using a statistical hypothesis method?</h3>

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The test statistics for this data can be computed as:

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\mathbf{z = \dfrac{0.1869 -0.2}{\sqrt{\dfrac{0.2(1-0.2)}{6965}}}}

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Hence, the p-value for the test statistics can be computed as:

P-value = P(Z ≤ z)

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