What is the value of x in the following equation?
2 answers:
Answer:
Step-by-step explanation:
To cancel out "- 2", we add 2 into both sides.
Now, we need to get rid of 2x so we can have one x.
Let's subtract 2x from both sides.
To get x by itself, we will divide both sides by -5.
<em>The value of x in the given equation is -2. I do not see a -2 in the answer choices. </em>
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ANSWER
Find out the expression gives the percent of survey participants who chose swimming.
To proof
As given
75 girls at a summer camp were asked to complete a survey about their favorite outdoor activity.
27 girls chose swimming
32 girls chose hiking.
FORMULA
total girls = 75
girls chose swimming = 27
put in the formula
= 36%
36% of survey participants who chose swimming
Hence proved
Answer:
(a) (5, -3)
Step-by-step explanation:
The "substitution method" for solving a system of equations requires that you write an expression that can be substituted for a variable in one or more of the other equations in the system.
<h3>Expression to substitute</h3>The given equations are ...
- y = x -8
- 2x +3y = 1
We notice the first equation gives an expression for y. This is exactly what we want to substitute for y in the second equation.
<h3>Substitution</h3>When the expression (x-8) is substituted for y in the second equation, you get ...
2x +3(x -8) = 1
This simplifies to ...
5x -24 = 1
<h3>Solution</h3>This 2-step equation can now be solved in the usual way:
5x = 25 . . . . . . add 24 to isolate the variable term
x = 25/5 = 5 . . . . . divide by the coefficient of x
Note that we now know what the correct answer choice is.
Using the expression for y, we find ...
y = x -8 = 5 -8 = -3
The solution is (x, y) = (5, -3).
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The attached graph confirms this solution.
