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3 years ago

Solve the system of equations algebraically.

Mathematics

1 answer:

Sveta_85 [38]3 years ago

7 0

Answer:

x = -7 , y = 5 thus D)

Step-by-step explanation:

Solve the following system:

{4 x - 4 y = -48 | (equation 1)

5 x - 6 y = -65 | (equation 2)

Swap equation 1 with equation 2:

{5 x - 6 y = -65 | (equation 1)

4 x - 4 y = -48 | (equation 2)

Subtract 4/5 × (equation 1) from equation 2:

{5 x - 6 y = -65 | (equation 1)

0 x+(4 y)/5 = 4 | (equation 2)

Multiply equation 2 by 5/4:

{5 x - 6 y = -65 | (equation 1)

0 x+y = 5 | (equation 2)

Add 6 × (equation 2) to equation 1:

{5 x+0 y = -35 | (equation 1)

0 x+y = 5 | (equation 2)

Divide equation 1 by 5:

{x+0 y = -7 | (equation 1)

0 x+y = 5 | (equation 2)

Collect results:

Answer: {x = -7 , y = 5

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3 years ago

Cherie is jogging around a circular track. She

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Answer:

Measure of minor angle JOG is $95.5^{\circ}$

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.

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Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle $\angle JOG = \theta$ .

To calculate the central angle, use the arc length formula as follows.

$Arc\:Length\left(s\right) = r\:\theta$

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Dividing both side by 120,

$\dfrac{200}{120}=\theta$

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

$\therefore \dfrac{5}{3}=\theta$

Therefore value of central angle is $\angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}$ , since angle is in radian

Now convert radian into degree by using following formula,

$1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}$

So multiplying $\theta$ with $\left(\dfrac{180}{\pi}\right)^{\circ}$ to convert it into degree.

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3 years ago

Guys help me with System of linear equations:

Leni [432]

Step 1: Add the two equations together to get just one equation.

2x + y + x - y = 5 + 1

Step 2: Simplify.

3x = 6

Step 3: Divide by 3 on both sides.

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Therefore, the answer is x=2

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irga5000 [103]

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