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candymorgan81
12.11.2019 •
Mathematics
Given the equation 4x + 7 = 3(2x − 5), solve for the variable. explain each step and justify your process. sam solved a similar equation below. is sam's solution correct? explain why or why not. 5x − 1 = 2(x + 4) 5x − 1 = 2x + 8 7x − 1 = 8 7x = 7 x = 1
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Ответ:
- distribute the 3 to the 2x and the -5
- the equation will now read 4x-7=6x-15
-subtract 7 from both sides
4x=6x-22
- subtract 6x from both sides
-2x=-22
-divide both sides by -2
x=11
the second part- sam is wrong because x should equal 3
-distribute 2 to the x and the 4
5x-1=2x+8
-subtract 2x from each side
3x-1=8
-add 1 to each side
3x=9
-divide each side by 3
x=3
Ответ:
MY SOLUTION :
Simplify the right side of the equation.
4x + 7 = 6x - 15
We're essentially trying to get "x" by itself so that we could solve for it.
So, simply subtract 6x from both sides, as well as subtracting 7 from both sides.
4x - 6x = - 15 - 7
Simplify.
-2x = -22
Divide both sides by -2.
x = 11
SAM'S SOLUTION :
5x - 1 = 2(x + 4)
Step 1) 5x - 1 = 2x + 8
Step 2) 7x - 1 = 8
Step 3) 7x = 7
Step 4) x = 1
Sam messed up in Step 2, because when moving a positive to the other side of an equal sign, you must turn it into negative. Due to the fact that Sam kept it as a positive, he messed up.
~Hope I helped!~
Ответ:
2 dozen= 24 so the ratio would be 24:8 but both numbers are divisible by 8