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].
