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Math  /  Algebra

QuestionWatch Video olve for aa. −1.54=1.1+1.2a-1.54=1.1+1.2 a
Answer Altemptiout of 2 a=□a=\square Submit Answer

Studdy Solution

STEP 1

1. The equation −1.54=1.1+1.2a -1.54 = 1.1 + 1.2a is asking us to solve for a a .
2. This is a linear equation with one variable.
3. The equation involves basic algebraic operations, specifically addition and division.

STEP 2

1. Isolate the term containing the variable a a .
2. Solve for a a by performing algebraic operations.
3. Verify the solution by substituting it back into the original equation.

STEP 3

To isolate the term containing a a , subtract 1.1 1.1 from both sides of the equation:
−1.54−1.1=1.2a -1.54 - 1.1 = 1.2a
Simplify the left-hand side:
−2.64=1.2a -2.64 = 1.2a

STEP 4

To solve for a a , divide both sides of the equation by 1.2 1.2 :
−2.641.2=a \frac{-2.64}{1.2} = a
Simplify the division:
a=−2.2 a = -2.2

STEP 5

Verify the solution by substituting a=−2.2 a = -2.2 back into the original equation:
Substitute:
−1.54=1.1+1.2(−2.2) -1.54 = 1.1 + 1.2(-2.2)
Calculate the right-hand side:
1.1+(−2.64)=−1.54 1.1 + (-2.64) = -1.54
Since both sides are equal, the solution is verified.
The solution is:
−2.2 \boxed{-2.2}

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