The steps are to first distribute the 1/3 into (x-9) and then to move the +6 on the left over to the right:
First distribute:
y + 6 = 1/3(x-9) becomes y + 6 = 1/3x-3
Now subtract 6 from both sides:
y = 1/3 x - 3 - 6
y = 1/3 x - 9
Answer:
82.5 km
Step-by-step explanation:
Given:

Cross-multiply.
2x = 11(15)
Divide both sides by 2 and solve for x.
x = 82.5 km
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Answer:
Given -2x + 7x + 8, the correct expression is 5x + 8.
Step-by-step explanation:
The student didn´t notice that 8 was not follow by x, and try to apply common factor. But we can´t do that. The correct form to solve this expression is -2x + 7x + 8 = (-2 + 7)x + 8 = 5x +8.
Answer: 888
Step-by-step explanation: simplify it
Answer:
Tomas added 6 to both sides of the equation instead of subtracting 6.
Step-by-step explanation:
Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation 2x + 6y = 12 to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy.
Given:
2x + 6y = 12
where
x = number of pounds of granola y = number of pounds of walnuts
The correct solution to the problem
x = 3 pounds
2x + 6y = 12
2(3) + 6y = 12
6 + 6y = 12
Subtract 6 from both sides
6 + 6y - 6 = 12 - 6
6y = 6
Divide both sides by 6
y = 6/6
= 1
y = 1 pound
Tomas added 6 to both sides of the equation instead of subtracting 6.