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1 year ago

2x - 12 = 2(x-10)-87

Mathematics

1 answer:

bogdanovich [222]1 year ago

4 0

The equation 2x - 12 = 2(x-10)-87 has no solutions.

Given: To find the value of x: 2x - 12 = 2(x - 10) - 87

What are algebraic expressions?

Algebraic expressions are sequences or combinations of characters containing letters, numbers, symbols, operators, and variables which are used to derive a certain relation among all of them.

What is an algebraic equation?

When an algebraic expression has a value it becomes an algebraic equation. The algebraic equation helps to make a relation between different variables for a problem.

Let's solve the question.

2x - 12 = 2(x - 10) - 87

Adding 12 on both sides:

2x - 12 + 12 = 2(x-10) - 87 + 12

=> 2x = 2(x -10) - 75

=> 2x = 2x - 20 - 75

=> 2x = 2x - 95

Adding -2x on both sides:

2x - 2x = 2x - 95 - 2x

0 = -95

This is contradictory.

The equation is independent of x, and 0 = -95 is false. Therefore, the equation has no solutions.

Hence the equation 2x - 12 = 2(x-10)-87 has no solutions.

Know more about "algebraic expressions" here: brainly.com/question/953809

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<h3>Area of the Inscribed Hexagon</h3>

Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be $10$ inches (same as the length of each side of the regular hexagon.)

Refer to the second attachment for one of these equilateral triangles.

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