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Karolina [17]
3 years ago
14

The relationship between ttt and rrr is expressed by the equation 2t+3r+6=02t+3r+6=02, t, plus, 3, r, plus, 6, equals, 0. If rrr

increases by 444, which of the following statements about ttt must be true?
Mathematics
1 answer:
Greeley [361]3 years ago
3 0

Question:

The relationship between t and r is expressed by the equation 2t+3r+6 = 0. If r increases by 4, which of the following statements about t must be true?

Answer:

The value of t is reduced by 6 when the value of r is increased by 4

Step-by-step explanation:

Given

2t + 3r + 6 = 0

Required

What happens when r is increased by 4

2t + 3r + 6 = 0 <em>-------- Equation 1</em>

Subtract 2t from both sides

2t + 3r + 6 - 2t = 0 - 2t

3r + 6 = - 2t --- <em>Equation 2</em>

When r is increased by 4, equation 1 becomes

2T + 3(r+4) + 6 = 0

Note that the increment of r also affects the value of t; hence, the new value of t is represented by T

Open bracket

2T + 3r+12 + 6 = 0

Rearrange

2T + 3r+6 +12 = 0

<em>Substitutr -2t for 3r + 6 [From equation 2]</em>

2T -2t +12 = 0

Make T the subject of formula

2T = 2t - 12

Divide both sides by 2

\frac{2T}{2} = \frac{2t - 12}{2}

T = t - 6

This means that the value of t is reduced by 6 when the value of r is increased by 4

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