Answer:
Explanation:
Steps to solve:
1. Write down the given information as a system of equations:
We are given that the length of the base is x, and the length of a leg is 5x-6. We are also given that the perimeter of the triangle is 98. We can use this information to write down the following system of equations:
x + 2(5x-6) = 98
2. Solve the system of equations:
We can solve the system of equations by using elimination. First, we can simplify the left side of the equation:
x + 10x-12 = 98
Next, we can combine the x terms on the left side of the equation:
11x-12 = 98
Then, we can add 12 to both sides of the equation:
11x = 110
Finally, we can divide both sides of the equation by 11 to solve for x:
x = 10
3. Interpret the solution:
The solution to the system of equations is x = 10. This means that the length of the base of the triangle is 10 units, and the length of a leg is 5(10)-6 = 44 units.
Answer:
x = 10