Move 6x to the right side
2y = -6x - 14
Divide all numbers by 2 to isolate the variable
2y/2 = -6x/2 - 14/2
y = -3x - 7
Answer:
The bike costs $130.
Step-by-step explanation:
1) 200 x 0.35 = 70
2) 200 - 70 = 130
Hotdogs = $1.00
hamburgers = $1.75
5 hotdogs + 4 hamburgers = $12.00
4 hotdogs + 5 hamburgers = $12.75
hotdogs = x
hamburgers = y
5x + 4y = 12
4x + 5y = 12.75
subtract the second equation from the first:
(5x + 4y = 12) - (4x + 5y = 12.75) =
1x - 1y = -0.75
x + 0.75 = y ( this means one hotdog plus $0.75 equals one hamburger)
now substitute "y" for "x + 0.75" in either equation to find x ( I used the first equation)
5x + 4y = 12
5x + 4( x + 0.75) = 12
5x + 4x + 3 = 12
9x + 3 = 12
9x = 9
x = 1 ( one hotdog costs $1.00)
now substitute 1 for "x" in either equation to find y ( I used the first equation again)
5x + 4y = 12
5(1) + 4y = 12
5 + 4y = 12
4y = 7
y = 1.75 ( one hamburger costs $1.75)
checking answers with either equation ( input $1.00 for hotdogs and $1.75 for hamburgers):
equation 1:
5 hotdogs + 4 hamburgers = $12.00
5($1.00) + 4($1.75) = $12.00
$5.00 + $7.00 = $12.00
$12.00 = $12.00 ✔
equation 2:
4 hotdogs + 5 hamburgers = $12.75
4($1.00) + 5($1.75) = $12.75
$4.00 + $8.75 = $12.75
$12.75 = $12.75 ✔
The given equation does not have any solution.
For given question,
We have been given an equation −5a + 5a + 9 = 8
We know that the like terms are those terms which have same variable to the same power.
Combine Like terms;
0 + 9 = 8
9 = 8
⇒ which is False.
This statement is false for any values of x
Therefore, the given equation does not have any solution.
Learn more about the solution of equation here:
brainly.com/question/545403
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192 miles is how far it travels
