Answered

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Find the value of the variable using these steps.

[tex]\[ 0.4x + 3.9 = 5.78 \][/tex]

1. Subtraction property of equality
2. Division property of equality

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

Sagot :

GinnyAnswer
To find the value of the variable \( x \) in the equation \( 0.4x + 3.9 = 5.78 \), follow these steps:

### Step 1: Subtraction Property of Equality
First, isolate the term with the variable by using the subtraction property of equality. This means we will subtract 3.9 from both sides of the equation:

[tex]\[ 0.4x + 3.9 - 3.9 = 5.78 - 3.9 \][/tex]

Simplifying both sides, we get:

[tex]\[ 0.4x = 1.88 \][/tex]

### Step 2: Division Property of Equality
Next, solve for \( x \) by using the division property of equality. We'll divide both sides of the equation by 0.4:

[tex]\[ \frac{0.4x}{0.4} = \frac{1.88}{0.4} \][/tex]

This simplifies to:

[tex]\[ x = 4.7 \][/tex]

So, the value of the variable \( x \) is:

[tex]\[ x = 4.7 \][/tex]

Hence, [tex]\( x = 4.7 \)[/tex] is the solution to the equation [tex]\( 0.4x + 3.9 = 5.78 \)[/tex].
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