Two numbers are w and 3w - 5. Their sum is 23. Solve the equation w + 3w -5 = 23 to find the numbers.

Mathematics

2 answers:

Alexxandr [17]4 years ago

7 0

4x-5=23
4x=28
x=7
w=7
3x-5=3(7)-5=21-5=24

andriy [413]4 years ago

3 0

W + 3w - 5 = 23 +5 +5 (-5 +5 cancels out and equals 0) Like terms. What you do to one side, you do to the other. 4w = 28 ---- --- 4 4 Isolate w by dividing by 4 W = 7

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tamaranim1 [39]

The correct answer is: [C]: " a = ± $\sqrt{25 - b^2}$ " .
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Explanation:
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We are given:
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→ To solve for "a" ; we want to isolate "a" on one side of the equation.
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We can rewrite: " 25 = a² + b² " ;

as: " a² + b² = 25 " .

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→ " a² + b² − b² = 25 − b² " ;

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→ Now, take the square root of EACH SIDE of the equation ;
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→ √(a²) = $\sqrt{25 - b^2}$ ;

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