Answer:
x = 3
Step-by-step explanation:
Given in the question an equation,

Step 1

so,

Step 2
cancel 2 on both sides of the equation

Step 3


Step 4

Step 5

Step 6
x/3 = 1
x = 3(1)
x = 3
Let's set up an equation.
smaller number = x
larger number = 2x - 5
Now set up the equation so that the larger number plus the smaller number adds up to 43.
x + 2x - 5 = 43
3x - 5 = 43 ( I added the x and 2x)
3x = 48 ( I added 5 to both sides)
x = 16 (I divided both sides by 3)
Now let's check it. Substitute 16 for every time there is an x.
16 + 2(16) - 5 = 43
16 + 32 - 5 = 43
48 - 5 = 43
43 = 43
It checks. x is equal to 16, so that means:
smaller number = 16
larger number = 27
Hope this helps =)
Given:
The expression is

To find:
The factors of the given expression.
Solution:
We have,

Splitting the middle term, we get




Therefore, the factors of given expression are (x+3) and (2x-3).