Question

Create and solve a single-variable equation with at least ten

Answer 1

The single-variable equation with at least ten terms is 7x  - 0.5x + 1/2x + 27 + 29 = 17x - x + 10 - 3 + 9, and the solution is x = 5

How to create the single variable equation?

Let the variable of the equation be x.

The rules in the question are:

• The number of terms is 10;
• At least one variable term must have a fractional coefficient
• At least one variable term must be non integer decimal coefficient
• At least one variable term must be negative

So, the equation must take the form

ax + bx + cx + f + g = dx + ex + h + i + j +k

So, we have:

7x  - 0.5x + 1/2x + 27 + 29 = 17x - x + 10 - 3 + 9

Evaluate the constant terms

7x  - 0.5x + 1/2x + 56 = 17x - x + 16

Evaluate the variable terms

8x  + 56 = 16x + 16

Apply the distributive property

8(x  + 7) = 16(x + 1)

Divide through by 4

2(x  + 7) = 4(x + 1)

Expand

2x + 14 = 4x + 4

Apply the distributive property

2(x  + 7) = 4(x + 1)

Divide through by 2

x + 7 = 2(x + 1)

Expand

x + 7 = 2x + 2

Collect like terms

2x - x = 7 - 2

Evaluate

x = 5

Read more about equations at:

brainly.com/question/2972832

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