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4 years ago

3w - (7w + 12) = 2(w – 3)how do u do this step by step

Mathematics

2 answers:

exis [7]4 years ago

3 0

3w-7w-12=2w-6

-4w-12=2w-6

-12=6w-6

-6=6w

w=-1

nata0808 [166]4 years ago

3 0

Answer:

w=-1

Step-by-step explanation:

3w-7w-12=2(w-3)

1) Combine alike terms:

-4w-12=2(w-3)

2) Use the Distributive property on the left side of the equation:

-4w+12=2w-6

3) Add a 6 to both sides:

-4w-6=2w

4) Add a 4w to both sides:

-6=6w

5) Divide both sides by 6:

w=-6/6

6) Simplify the fraction:

w=-1

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DochEvi [55]

Answer:

Both equal sides have a length of 29 cm.

The third inequal side is 9 cm.

Step-by-step explanation:

System of Equations

With the data provided in the problem, we can form a system of two equations with two unknowns.

Let's call x to each equal side of the isosceles triangle and y to the other side. One condition states that each equal side is 2 cm more than three times the other side. It can be written as:

$x=3y+2$

We also know the perimeter of the triangle is 67 cm. Since we have to equal sides to x:

$x+x+y=67$

$2x+y=67$

Let's put together both equations:

$x=3y+2$

$2x+y=67$

To solve the system, we can use the x from the first equation and replace it into the second equation:

$2(3y+2)+y=67$

Operating:

$6y+4+y=67$

Joining like terms:

$7y=67-4=63$

Solving for y:

$y=63/7=9$

The third inequal side is 9 cm. Now find the value of x.

$x=3y+2=3(9)+2=27+2=29$

Both equal sides have a length of 29 cm.

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3 years ago

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Anni [7]

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Step-by-step explanation:

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3 years ago

3w - (7w + 12) = 2(w – 3)how do u do this step by step​

3w - (7w + 12) = 2(w – 3)how do u do this step by step