Given that 6 x − 7 y = 22 Find y when x = − 1
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Answer:
Third step is incorrect. The correct factored form is (x-1)(2x-5).
Step-by-step explanation:
The given expression is
We need to find the factored form of this expression.
Step 1: Given
Step 2: Splitting the middle term method, the middle term can be written as (-5x-2x).
Step 3: Taking out common factors from each parenthesis.
Step 4: Taking out common factors.
Therefore, the third step is incorrect. The correct factored form is (x-1)(2x-5).
An equation that correctly represent this relationship if x represents the number of pounds of fertilizer and y the number of ounces of weed killer is 0.5x + 3.5y = 70
<u>Solution:</u>
Given that, Bill spent 70 on fertilizer and weed killer for his lawn
Each pound of fertilizer cost 50 cents and each once of weed killer cost 3.50
We have to write an equation, if x represents the number of pounds of fertilizer and y the number of ounces of weed killer.
Now,<em> total amount = amount for fertilizers + amount for weed killers.</em>
Total amount = number of pounds of fertilizers x cost per pound + number of ounces of weed killer x cost per ounce.
Hence, the equation is 0.5x + 3.5y = 70