Based on the tables, at what point do the lines y = 3x - 2 and y = -5x - 10 intersect?
1 answer:
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Hi there! Marcie made a mistake in the last step of the solving process.
Let's solve this problem step by step!
−2(x − 5) − 12 ≤ 4 + 6(x + 3)
First work out the parenthesis, which can for instance be done using rainbow method.
−2x + 10 − 12 ≤ 4 + 6x + 18
The parenthesis are worked out correctly. Remember that multiplying a negative by a negative gives you a positive.
Now we can collect the terms.
−2x − 2 ≤ 6x + 22
The terms are collected correctly.
Next up is subtracting 6x from both sides and adding 2 to both sides of the inequality.
−8x ≤ 24
This step is also correct.
Finally we must divide both sides of the inequality by -8 to find our answer. Be aware of the fact that the sign flips when dividing by a negative!
x ≤ −3
Mistake! Marcie forgot to flip the sign. Instead the answer should be
~ Hope this helps you!
Let's solve this problem step by step!
−2(x − 5) − 12 ≤ 4 + 6(x + 3)
First work out the parenthesis, which can for instance be done using rainbow method.
−2x + 10 − 12 ≤ 4 + 6x + 18
The parenthesis are worked out correctly. Remember that multiplying a negative by a negative gives you a positive.
Now we can collect the terms.
−2x − 2 ≤ 6x + 22
The terms are collected correctly.
Next up is subtracting 6x from both sides and adding 2 to both sides of the inequality.
−8x ≤ 24
This step is also correct.
Finally we must divide both sides of the inequality by -8 to find our answer. Be aware of the fact that the sign flips when dividing by a negative!
x ≤ −3
Mistake! Marcie forgot to flip the sign. Instead the answer should be
~ Hope this helps you!