Answer:
- Andre subtracted 3x from both sides
- Diego subtracted 2x from both sides
Step-by-step explanation:
<u>Andre</u>
Comparing the result of Andre's work with the original, we see that the "3x" term on the right is missing, and the x-term on the left is 3x less than it was. It is clear that Andre subtracted 3x from both sides of the equation.
__
<u>Diego</u>
Comparing the result of Diego's work with the original, we see that the "2x" term on the left is missing, and the x-term on the right is 2x less than it was. It is clear that Diego subtracted 2x from both sides of the equation.
_____
<em>Comment on their work</em>
IMO, Diego has the right idea, as his result leaves the x-term with a positive coefficient. He can add 8 and he's finished, having found that x=14.
Andre can subtract 6 to isolate the variable term, and that will give him -x=-14. This requires another step to get to x=14. Sometimes minus signs get lost, so this would not be my preferred sequence of steps.
As a rule, I like to add the opposite of the variable term with the least (most negative) coefficient. This results in the variable having a positive coefficient, making errors easier to avoid.
twice a number: 2x
is 27 more than half the number: 1/2x
2x = 1/2x + 27
Isolate the x. Subtract 1/2x from both sides
2x (-1/2x) = 1/2x (-1/2x) + 27
2x - 1/2x = 27
1.5x = 27
Isolate the x. Divide 1.5 from both sides
1.5x/1.5 = 27/1.5
x = 27/1.5
x = 18
18 is the number
hope this helps
Answer:
5
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
y = 5x
<u>Step 2: Break Function</u>
<em>Identify Parts</em>
Slope <em>m</em> = 5
y-intercept <em>b</em> = 0
1. 2x²-3x²-3x+5x+1-2=-x²+2x-1
2.3x²+5x-2x+6-1=3x²+3x+5
3.-7n²-5n²+4n+6n+3+1=-13n²+10n+4
I think these are the answers if not I'm sorry