Answered

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Solve for [tex]\(a\)[/tex]:

[tex]\[ 24a - 22 = -4(1 - 6a) \][/tex]

Sagot :

GinnyAnswer
Sure! Let's solve the given equation step-by-step:

The given equation is:
[tex]\[ 24a - 22 = -4(1 - 6a) \][/tex]

Step 1: Distribute the -4 on the right-hand side:
[tex]\[ 24a - 22 = -4 \cdot 1 + (-4) \cdot (-6a) \][/tex]
[tex]\[ 24a - 22 = -4 + 24a \][/tex]

Step 2: Simplify both sides.
[tex]\[ 24a - 22 = -4 + 24a \][/tex]

Step 3: Notice that both sides of the equation have the same variable term [tex]\( 24a \)[/tex]. Subtract [tex]\( 24a \)[/tex] from both sides to eliminate it:
[tex]\[ 24a - 22 - 24a = -4 + 24a - 24a \][/tex]
[tex]\[ -22 = -4 \][/tex]

Step 4: Notice that we are left with a false statement, [tex]\(-22\)[/tex] does not equal [tex]\(-4\)[/tex].

When you reach a false statement like this, it indicates that the original equation has no solution. Therefore, there is no value of [tex]\( a \)[/tex] that will satisfy the given equation.

In conclusion, the equation [tex]\( 24a - 22 = -4(1 - 6a) \)[/tex] has no solution.
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