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Verify whether the given value of the variable is a solution.

(a) Equation: [tex]2x + 5 = 11[/tex]; Value of the variable: [tex]x = 3[/tex]

Sagot :

GinnyAnswer
Sure, let's verify whether [tex]\( x = 3 \)[/tex] is a solution to the equation [tex]\( 2x + 5 = 11 \)[/tex].

1. Substitute [tex]\( x = 3 \)[/tex] into the left-hand side of the equation:

The given equation is [tex]\( 2x + 5 = 11 \)[/tex].

2. Calculate the left-hand side (LHS) with [tex]\( x = 3 \)[/tex]:

Substitute [tex]\( x = 3 \)[/tex] into [tex]\( 2x + 5 \)[/tex]:
[tex]\[ 2(3) + 5 \][/tex]
Simplify the expression:
[tex]\[ 6 + 5 = 11 \][/tex]

3. Compare the result with the right-hand side (RHS) of the equation:

The right-hand side of the equation is 11.

4. Verify if the left-hand side (LHS) equals the right-hand side (RHS):

From our calculations, we find that:
[tex]\[ 2(3) + 5 = 11 \][/tex]
Since:
[tex]\[ 11 = 11 \][/tex]

5. Conclusion:

Since the left-hand side (11) is equal to the right-hand side (11), [tex]\( x = 3 \)[/tex] satisfies the equation [tex]\( 2x + 5 = 11 \)[/tex]. Therefore, [tex]\( x = 3 \)[/tex] is indeed a solution to the equation.
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