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What is the value of [tex]\(a\)[/tex] in the equation [tex]\(5a - 10b = 45\)[/tex] when [tex]\(b = 3\)[/tex]?

A. 3
B. 15
C. 21
D. 39

Sagot :

GinnyAnswer
To find the value of [tex]\( a \)[/tex] in the equation [tex]\( 5a - 10b = 45 \)[/tex] when [tex]\( b = 3 \)[/tex], follow these steps:

1. Substitute the value of [tex]\( b \)[/tex] into the equation:
[tex]\[ 5a - 10(3) = 45 \][/tex]

2. Simplify the equation by performing the multiplication:
[tex]\[ 5a - 30 = 45 \][/tex]

3. Add 30 to both sides of the equation to isolate the term with [tex]\( a \)[/tex]:
[tex]\[ 5a = 75 \][/tex]

4. Divide both sides of the equation by 5 to solve for [tex]\( a \)[/tex]:
[tex]\[ a = \frac{75}{5} \][/tex]

5. Simplify the division:
[tex]\[ a = 15 \][/tex]

Therefore, the value of [tex]\( a \)[/tex] is [tex]\( 15 \)[/tex].
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