The two equations are:
a) 4x + 5 = 5x, with the solution x = 5
b) (1/4)*x = 2 + 5, with the solution x = 28.
How to transform the given statements into equations?
a) The first statement is:
"The sum of four times a number and 5 gives a number five times"
So, assuming that both times "a number" refers to the same number, and defining it by x, we can write that statement as:
4x + 5 = 5x
To solve this, we just isolate the x.
4x + 5 = 5x
5 = 5x - 4x
5 = x
The solution is x = 5.
b) The second statement is:
"One-fourth of a number is 2 more than 5."
Again, let's use "x" as the number.
This is written as:
(1/4)*x = 2 + 5
Again, to solve this, we just need to isolate x.
(1/4)*x = 2 + 5
(1/4)*x = 7
x = 5*/ = 28
The solution is x = 28.
If you want to learn more about math statements.
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