Answer:
Step-by-step explanation:
we are asked to evaluate
÷
Above we are given mixed fraction which can be converted in proper fraction using formula given below
Hence
Also
Hence
÷
can be written as
÷ 
Also we know the rule for dividing fraction is as given below
÷ 
= 
Hence
÷ = 
=
=
Answer:
Step-by-step explanation:
2:3 is the correct answer
We can begin by rewriting the problem:
4(2x + 5) + 2x + 3 = -11
Let’s solve in steps.
1. Distribute
8x + 20 + 2x + 3 = -11
2. Combine like terms
10x + 23 = -11
3. Subtract 23 from both sides
10x + (23 - 23) = -11 - 23
10x = -34
4. Divide both sides by 10
10 / 10 = 1 (or x)
-34 / 10 = -3.4
Therefore, x = -3.4.
Our system of equations is:
y = x - 4
y = -x + 6
We can solve this system of equations by substitution. We already have one equation solved for the variable y in terms of x, so we can substitute in this equivalent value for y into the second equation as follows:
y = -x + 6
x - 4 = -x + 6
To simplify this equation, we first are going to add x to both sides of the equation.
2x - 4 = 6
Next, we are going to add 4 to both sides of the equation to separate the variable and constant terms.
2x = 10
Finally, we must divide both sides by 2, to get the variable x completely alone.
x = 5
To solve for the variable y, we can plug in our solved value for x into one of the original equations and simplify.
y = x - 4
y = 5 - 4
y = 1
Therefore, your final answer is x = 5 and y = 1, or as an ordered pair (5,1).
Hope this helps!
