Mathematics>Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
ax+5=4x-3
In the linear equation shown above, a is a constant. If the equation has no solution, what is the value of a?
A.1
B.2
C.3
D.4
答案:D
解析:
Choice D is correct. A linear equation in one variable will have no solution if the equation reduces to an equation of the form:
ax+b=cx+d,
where a=c and b≠d.
Therefore, if a=4, the equation 4x+5=4x-3 yields 5=-3. This is not true for any values of x and therefore this value of a results in an equation with no solutions.
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