A student solved 3x−4=x7 in six steps, as shown.
Step 1: 3=x(x−4)7
Step 2: 21=x(x−...
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Mathematics, 20.03.2020 20:49 richardgibson2005
A student solved 3x−4=x7 in six steps, as shown.
Step 1: 3=x(x−4)7
Step 2: 21=x(x−4)
Step 3: 21=x2−4x
Step 4: 0=x2−4x−21
Step 5: 0=(x−7)(x+3)
Step 6: x=−3, x=7
Which statement is an accurate interpretation of the student's work?
A The student solved the equation correctly.
B The student made an error in step 2.
C The student made an error in step 5.
D Only x=7 is a solution to the original equation.
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