I'd appreciate it if tutors could show me the answer of the following equation step by step. Thanks a million!
"An operation is defined as a * b = 3 x a - 5 x b. Find the value of x in 7 * (x * 4) = 1"
First, let's make it a little clearer; it's dangerous to use "x" to mean both multiplication and a variable, as you presumably do. Here is what I think it is:
An operation is defined as [imath]a * b = 3a - 5b[/imath]. Find the value of [imath]x[/imath] in [imath]7 * (x * 4) = 1[/imath].
What this means is that "*" is the symbol for a made-up operation (not multiplication) that is performed by subtracting 3 times the first operand, minus 5 times the second operand. For example, [imath]2 * 3 = 3(2) - 5(3)=6-15=-9[/imath].
Now you are to find the value(s) of [imath]x[/imath] such that [imath]7 * (x * 4) = 1[/imath].
I can imagine several ways to try to solve [imath]7 * (x * 4) = 1[/imath]; one would be to first solve [imath]7 * y = 1[/imath] for [imath]y[/imath], and then use the result and solve [imath]x * 4 = y[/imath] for [imath]x[/imath]. Another would be to rewrite [imath]7 * (x * 4) = 1[/imath] using the definition twice, and then solve the remaining ordinary equation.
I'm hoping that what I've explained will give you a start, so you can show us what you understand of the problem, and/or what you try in order to take it from where I've left it.
It will also be helpful if you tell us your context: Are you taking a course in which this was taught (what course?), or did you come across the problem outside of what you are learning? The more we know about you, the better we can help
you figure it out.
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