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Chapter 3: Q43. (page 133)

Consider the equation ax + 6 = 2(x + 3). For what values(s) of adoes the equation have all the numbers as a solution? For what values(S) of adoes the equation have just one solution?

Short Answer

Expert verified

The value of a is 2.

Step by step solution

01

Step-1 – Given

The given equation is ax+6=2x+3.

02

Step-2 – To determine

We have to find the value of a.

03

Step-3 – Calculation

Given equation: ax+6=2x+3

Using the distributive property:

鈬�ax+6=2x+6

Subtract 6 from both sides,

鈬�ax+6-6=2x+6-6

Simplify,

ax=2x

Divide both side of the equation by x;

鈬�axx=2xx

鈬�a=2

So, the value of ais 2.

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