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Elani signed up for an installment plan with 0% interest to purchase a new couch that costs $770. She creates an equation to model the situation, where x represents the number of months and y represents the balance of the installment account:

y = 770 − 55x.

Determine the missing steps and justifications in the solution.

The missing steps in the solution of Elani are subtraction property of equality, simplification, division property of equality, and simplification.

What is the property of equality?

Property of equality says that by performing any mathematical operation, of both sides of an expression does not change the original value of the equation.

Elani signed up for an installment plan with 0% interest to purchase a new couch that costs $770. She creates an equation to model the situation,

[tex]y = 770 - 55x[/tex]

Here, x represents the number of months and y represents the balance of the installment account. Thus, the given equation is,

[tex]y = 770 - 55x[/tex]

Subtract 770 both side of equation using subtraction property of equality,

[tex]y-770 = 770 - 55x-770[/tex]

Simplify with simplification step,

[tex]y-770 = 55x[/tex]

Divide both side of equation with number 55 with division property of equality,

[tex]\dfrac{y-770}{55} = \dfrac{55x}{55}[/tex]

Simplify with simplification step,

[tex]y-770=x[/tex]

Thus, the missing steps in the solution of Elani are subtraction property of equality, simplification, division property of equality, and simplification.

Learn more about the property of equality here;

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