Given: minus left parenthesis 3x minus 2 right parenthesis plus 2 left parenthesis x minus 3 right parenthesis equals minus 7. Step 1 shows, minus 3x plus 2 plus 2x minus 6 equals minus 7. Step 2 shows, minus 3x plus 2x plus 2 minus 6 equals minus 7. Step 3 shows, minus x minus 4 equals minus 7. Step 4 shows, minus x minus 4 plus 4 equals -7 plus 4. Step 5 shows, minus x over -1 equals -3 over -1. Answer: x equals 3.
When did Peter apply the distributive property?
A. from the given to step 1
B. from step 1 to step 2
C. from step 3 to step 4
D. from step 4 to step 5
1 answer
Peter applied the distributive property in Step 1 when he expanded the expression. The original equation was:
\[ -\left(3x - 2\right) + 2\left(x - 3\right) = -7 \]
In Step 1, he distributed the negative sign across \((3x - 2)\) and 2 across \((x - 3)\), resulting in:
\[ -3x + 2 + 2x - 6 = -7 \]
Thus, the correct answer is:
A. from the given to step 1
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3 answers
1 answer
1 answer