Answer:
- Number of calories in burger = 620 calories
- Number of calories in hotdog = 400 calories
Step-by-step explanation:
Number of calories in burger = x
Number of calories in hotdog = y
y = x - 220
x + 2y = 1,420
Substitution:
x + 2 * (x - 220) = 1,420
x + 2x - 440 = 1,420
3x = 1,420 + 440
x = 1,860 / 3
x = 620 calories
y = x - 220
= 620 - 220
= 400 calories
Answer:
3/4*x - 3/4*8=12
3/4x -6=12
3/4x=12+6
3/4x=18
x=24
Step-by-step explanation:
multiply 3/4 into the content inside the brackets
have -3/4*8 cross the equal sign changing its sign from - to +
divide both sides by 3/4
The solution of the equation is x = -4/3.
<h3>What does it mean to solve an equation?</h3>
An equation represents equality of two or more mathematical expression.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
WE have been given an equation as;
|x - 4| = 5x + 12
In an absolute value equation, we solve the original expression as our first equation. Our second one is that we multiply the right side by -1.
Case 1: original equation
|x - 4| = 5x + 12
x - 4 = 5x + 12
x - 5x = 12 + 4
-4x = 16
x = -4
Case 2: Opposite equation
|x - 4| = 5x + 12
x - 4 = - (5x + 12)
x - 4 = - 5x - 12
x + 5x = -12 + 4
6x = -8
x = -4/3
Now we have two solutions. We need to check for extraneous solutions because of all the manipulations;
Check:
|x - 4| = 5x + 12
use x = -4
|-4 - 4| = 5(-4) + 12
| -8 | = -20 + 12
8 = -8
Thus, it is Not a solution
Now, |x - 4| = 5x + 12
use x = -4/3
| -4/3 - 4| = 5( -4/3) + 12
|-16/3 | = -20/3 + 12
|-16/3 | = 16/3
16/3 = 16/3
Thus, it is the Solution.
Learn more about solving equations here:
brainly.com/question/18015090
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The equation is 13.95x+1.95=85.65
The answer is 6 compact discs.
