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3 years ago

Solve using elimination. 6x + 8y = -4 -6x - 10y = 14

Mathematics

2 answers:

jok3333 [9.3K]3 years ago

3 0

Answer:

x = 6, y = -5.

Step-by-step explanation:

6x + 8y = -4

-6x - 10y = 14 Adding will eliminate the terms in x:

0 - 2y = 10

y = 10/-2 = -5,

Plug this into the second equation:

-6x - 10(-5) = 14

-6x = 14 - 50 = -36

x = -36/-6

x = 6.

bearhunter [10]3 years ago

3 0

Answer:

x = 6

y = -5

Step-by-step explanation:

Add the 2 together because the 6x and -6x cancel out

6x + 8y = -4

+(-6x - 10y = 14)

-2y = 10

$\frac{-2y}{-2} = \frac{10}{-2}$

y = -5

Then plug into y to get x.

6x + 8(-5) = -4

6x - 40 = -4

+ 40 + 40

6x = 36

$\frac{6x}{6} = \frac{36}{6}$

x = 6

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Step-by-step explanation:

The system of hypothesis on this case are:

Null hypothesis: $\mu_1 = \mu_2$

Alternative hypothesis: $\mu_1 \neq \mu_2$

Or equivalently:

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Alternative hypothesis: $\mu_1 -\mu_2\neq 0$

Our notation on this case :

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$n_2 =5$ represent the sample size for group 2

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$s_2=1.81$ represent the sample standard deviation for group 2

If we see the alternative hypothesis we see that we are conducting a bilateral test and with independnet samples t test.

b) independent samples t-test

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And now we can calculate the p value using the altenative hypothesis:

$p_v =2*P(t_{8}>0.154) =0.881$

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