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Troyanec [42]
2 years ago
6

Pls help help help help help​

Mathematics
1 answer:
DochEvi [55]2 years ago
4 0

Answer:

<em>Both equal sides have a length of 29 cm.</em>

<em>The third inequal side is 9 cm.</em>

Step-by-step explanation:

<u>System of Equations</u>

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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Step-by-step explanation:

The goal is to isolate the y variable

In order to have y by itself (on one side of the equation or equal sign), we must move the other numbers and variables to the other side.

Since 2x is on the same side as y, we have to subtract it from both sides. Subtracting it cancels out the original 2x and leaves the equation to look like this:

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Hope this helps!!! :D

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