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3 years ago

Solve the system of equations using the linear combination method.

1 answer:

7 0

5p - 3q = -39
- (-2p - 3q = 3)
==> 7p = -42 ==> p = -6

==> p = -6
-2(-6) - 3q = 3 ==> 12 - 3q = 3

==>p = -6
-3q = 3 - 12 ==> -3q = -9

==> p = -6
q = 3

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Anna007 [38]

<h3><u>Answer:</u></h3>

The value of x is 17.

<h3><u>Step-by-step explanation:</u></h3>

<u>We know that the lines are parallel because it is given that:</u>

a ∥ b

<u>Now, let's form an equation.</u>

=> 2x + 5 + 8x + 5 = 180

<u>Let's solve!</u>

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Match each value with its formula for ABC.

Ivahew [28]

For the triangle ABC use the sine theorem:

$\dfrac{a}{\sin A}= \dfrac{b}{\sin B}= \dfrac{c}{\sin C}$ .

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3. From $\dfrac{a}{\sin A}= \dfrac{c}{\sin C}$ you have $\dfrac{c}{a} \cdot \sin A=\sin C$ .

4. From $\dfrac{a}{\sin A}= \dfrac{c}{\sin C}$ you have $\dfrac{\sin A}{\sin C} \cdot c=a$ .

5. From $\dfrac{a}{\sin A}= \dfrac{b}{\sin B}$ you have $\dfrac{\sin B}{\sin A} \cdot a=b$ .

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5 0

4 years ago

Read 2 more answers

In a different dimension, cows have $x+3$ legs, with 3 toes on each leg. Chickens have $2x-4$ legs, with 7 toes on each leg. If

Juli2301 [7.4K]

Answer:

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Step-by-step explanation:

Cows have $x+3$ legs and 3 toes on each leg, if we want to find the number of toes of ONE cow we have to multiply the legs by the toes giving the following:

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But we have two cows so (1) we have to multiply it by 2 giving a total of:

$2(3(x+3))\\6(x+3)\\6x+18 \quad (2)$

By the other hand chickens have $2x-4$ legs and 7 toes on each leg, if we want to find the number of toes we have to multiply the legs by the toes giving the following:

$7(2x-4)\\14x-28 \quad (3)$

To find the total amount of toes we have to add (2) and (3)

$(6x+18)+(14x-28)\\20x-10$

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