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liraira [26]
2 years ago
14

Consider the equation 2(ax+3)=4x−3(4x+8). For what value of a is there no solution to the equation?

Mathematics
1 answer:
erastovalidia [21]2 years ago
5 0

Answer:

the value of a such that  there is no solution to the equation is a = -4.

Step-by-step explanation:

Let first simplify the expression presented on statement. The equation has no solution if and only if a is eliminated in the process and an absurd is the result (i.e. 0 = 7).

2\cdot (a\cdot x + 3) = 4\cdot x -3\cdot (4\cdot x + 8)

2\cdot a\cdot x +6 = 4\cdot x -12\cdot x -24

2\cdot a \cdot x+6=-8\cdot x-24

2\cdot a\cdot x +8\cdot x = -30

2\cdot (a+4)\cdot x = -30

(a+4)\cdot x = -15

To obtain an absurd, we need that a+4 = 0. Hence, the value of a such that  there is no solution to the equation is:

a = -4

Let prove the certainty of the result. We find that an absurd exist: (a = -4)

0 = -15

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