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3 years ago

Solve the system of equations using elimination 2x+y=3 and 3x-y=12

1 answer:

3 0

2x + y = 3
3x - y = 12
Add both equations
5x = 15, x = 3
2(3) + y = 3
6 + y = 3, y = -3
Solution: x = 3, y = -3... or (3,-3)

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Hi , step by step please

Zigmanuir [339]

Answer:

Eldest: $335,500 Middle: $182,750 Youngest: $167,750

Step-by-step explanation:

Let's represent the amount of money the youngest sibling received as x.

The amount the eldest received can be represented as: 2x

The amount the middle sibling received can be represented as: x + 15,000

If we combined the amount of money that all of the siblings received, it would be $686,000. We can write this as an equation:

686,000 = 2x + (x + 15,000) + x

Now let's solve for x. First, combine like terms

686,000 = 4x + 15,000

Subtract 15000 from both sides to isolate the 4x

671,000 = 4x

Divide both sides by 4 to isolate the x

167,750 = x

Now we know that the amount of money the youngest received is $167,750. We can use this amount to figure out how much the other two siblings received.

Eldest: 2 * 167,750 = $335,500

Middle: 167,750 + 15,000 = $182,750

We can check to make sure these answers are correct by adding them all together to make sure that they equal 686,000

167,750 + 335,500 + 182,750 = 686,000

7 0

3 years ago

Miles had a piece of paper 1/4 of a large circle cut in three equal parts from the center point of the circle. What angle is the

telo118 [61]

The angle of 1/4 of a circle is given by:
(1/4) * (360) = 90 degrees
We now look for the angle that results from dividing 1/4 of a circle into three equal parts.
We have then:
(1/3) * (90) = 30 degrees.
Answer:
the measure of each part is:
30 degrees

6 0

3 years ago

Someone help, please and thank you

taurus [48]

Answer:

6√2

Step-by-step explanation:

Given,

θ = 45

Opposite side = 6

To find : - Hypotenuse

Formula : -

sin θ = Opposite side / Hypotenuse

[ The value of sin 45 = 1 / √2 ]

sin 45 = 6 / Hypotenuse

1 / √2 = 6 / Hypotenuse

Cross multiply,

Hypotenuse = 6√2

8 0

2 years ago

Read 2 more answers

How many solutions does the equation y=mx have

kherson [118]

Answer:A solution to an equation is the value or values of the variable or variables that make the equation a true statement. Graphically, solutions are the intersections of the graphs of the left side and the right side, or if the equation is written so that one side is zero, we are looking for the x-intercepts (for real solutions.)

Periodic functions can have infinite solutions. For instance, cos(x)=1 has as solutions x=2n*pi, n in ZZ (or n an integer.) Periodic functions can...

Step-by-step explanation:

4 0

3 years ago

The perimeter of a regular pentagon is 41.5 cm. Write and solve an equation to determine the length of each side of the pentagon

Sveta_85 [38]

Answer:

41.5÷5= the answer 8.3 cm

5 0

3 years ago