Solve for a. (a)/( 0.5)+2.4=-2.6 Answer: a=

Isolate variable term: First, we need to isolate the term containing the variable a on one side of the equation. (a)/(0.5) + 2.4 = -2.6 Subtract 2.4 from both sides to move the constant term to the right side of the equation. (a)/(0.5) + 2.4 - 2.4 = -2.6 - 2.4Simplify equation: Now, simplify the equation by performing the subtraction on the right side. (a)/(0.5) = -2.6 - 2.4 (a)/(0.5) = -5.0Eliminate denominator: Next, to solve for a, we need to eliminate the denominator 0.5 by multiplying both sides of the equation by 0.5. (a)/(0.5) * 0.5 = -5.0 * 0.5Perform multiplication: Perform the multiplication on both sides of the equation. a = -5.0 * 0.5 a = -2.5

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Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

a

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\frac{a}{0.5}+2.4=-2.6

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Answer:

a=

Isolate variable term: First, we need to isolate the term containing the variable $a$ on one side of the equation. $\frac{a}{0.5} + 2.4 = -2.6$ Subtract $2.4$ from both sides to move the constant term to the right side of the equation. $\frac{a}{0.5} + 2.4 - 2.4 = -2.6 - 2.4$
Simplify equation: Now, simplify the equation by performing the subtraction on the right side. $\newline$ $(a)/(0.5) = -2.6 - 2.4$ $\newline$ $(a)/(0.5) = -5.0$
Eliminate denominator: Next, to solve for $a$ , we need to eliminate the denominator $0.5$ by multiplying both sides of the equation by $0.5$ . $\frac{a}{0.5} \times 0.5 = -5.0 \times 0.5$
Perform multiplication: Perform the multiplication on both sides of the equation. $\newline$ $a = -5.0 \times 0.5$ $\newline$ $a = -2.5$