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A plumber charges [tex]$130 to start a job plus $[/tex]56 per hour. How many hours did she work if the total bill is $214?

This problem can be modeled with the following equation:
[tex]\[ 130 + 56x = 214 \][/tex]

Step 1: Which operation should be performed to isolate the variable term?
- Apply the subtraction property of equality.
- Which value do you need to subtract?

Sagot :

GinnyAnsweridn
Certainly! Let's solve this step-by-step.

We are given the equation:
[tex]\[ 130 + 56x = 214 \][/tex]

Step 1: Isolate the variable term.

To isolate the variable [tex]\(x\)[/tex], we need to eliminate the constant term on the left side. We'll do this by performing the subtraction property of equality.

Which value do we need to subtract? We need to subtract 130 from both sides of the equation to get rid of the constant term on the left side.

[tex]\[ 130 + 56x - 130 = 214 - 130 \][/tex]

Simplifying both sides:

[tex]\[ 56x = 84 \][/tex]

Step 2: Solve for the variable [tex]\(x\)[/tex].

Now we have the simplified equation:

[tex]\[ 56x = 84 \][/tex]

To solve for [tex]\(x\)[/tex], we need to divide both sides of the equation by 56.

[tex]\[ x = \frac{84}{56} \][/tex]

After performing the division:

[tex]\[ x = 1.5 \][/tex]

So, the plumber worked for 1.5 hours.
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