Solve for a- 2 a -4-5 a -4-14A- 0B- -2C- -1D- -3

The correct option is B 2 Given 2(a + 4) + 5(a + 4) = 14 ⇒ 2a +8 +5a +20 = 14 [rearranging the terms] ⇒ 2a + 5a +8 +20 = 14 ⇒ 7a + 28 = 14 ⇒ 7a = 14 ...

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Byju's Answer

Standard VI

Mathematics

Solving Equations ax = b and (x/a) = b by Rearranging Terms

Solve for a: ...

Question

Solve for $a$ : $2 (a + 4) + 5 (a + 4) = 14$

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Solution

The correct option is B
-2

Given $2 (a + 4) + 5 (a + 4) = 14$

$\Rightarrow 2 a + 8 + 5 a + 20 = 14$

[rearranging the terms]

$\Rightarrow 2 a + 5 a + 8 + 20 = 14$

$\Rightarrow 7 a + 28 = 14$

$\Rightarrow 7 a = 14 - 28$

$\Rightarrow 7 a = - 14$

[dividing both terms by 7]

$\frac{7 a}{7} = a = \frac{- 14}{7} = - 2$

$\Rightarrow a = - 2$

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Solve for a: 2(a+4)+5(a+4)=14

The correct option is B -2 Given 2(a+4)+5(a+4)=14 ⇒2a+8+5a+20=14 [rearranging the terms] ⇒2a+5a+8+20=14 ⇒7a+28=14 ⇒7a=14−28 ⇒7a=−14 [dividing both terms by 7] 7a7=a=−147=−2 ⇒a=−2

Solve for $a$ : $2 (a + 4) + 5 (a + 4) = 14$