Question

Write each sentence as an algebraic equation. Then solve for the variable, or unknown number.

Four times a number plus five more than three times the number is 47.

Answer 1

4x+3x+5=47
7x+5=47
7x=47-5
7x=42
x=6

Answer 2

$\large{\mathfrak{\underline{\underline{Solution:}}}}$

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Equation $\large{\boxed{4x + 3x + 5 = 47}}$

ATQ,

$\large{7x + 5 = 47}$

$\large{7x = 47 - 5}$

$\large{7x = 42}$

$\large{x = \frac{42}{7} }$

$\large{\boxed{\red{ x = 6}}}$

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$\mathfrak{\underline{Verification:}}$

(4×6) + (3×6) + 5 = 47

24 + 18 + 5 = 47

47 = 47

Thus, LHS = RHS

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