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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 [tex]\( b = 3 \)[/tex] into the equation:
[tex]\[ 5a - 10(3) = 45 \][/tex]

2. Simplify the equation by multiplying and combining like terms:
[tex]\[ 5a - 30 = 45 \][/tex]

3. To isolate [tex]\( a \)[/tex], add 30 to both sides of the equation:
[tex]\[ 5a - 30 + 30 = 45 + 30 \][/tex]
[tex]\[ 5a = 75 \][/tex]

4. Finally, solve for [tex]\( a \)[/tex] by dividing both sides of the equation by 5:
[tex]\[ a = \frac{75}{5} \][/tex]
[tex]\[ a = 15 \][/tex]

Thus, the value of [tex]\( a \)[/tex] is [tex]\(\boxed{15}\)[/tex].
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