Question

Brainliest! If 2a+4b=5 and a is equal to three times b, what is 3a?

Answer 1

Answer:

The value of 3a = 9/2

Step-by-step explanation:

Given the expression

$2a+4b=5$

Given that a is equal to three times b. so,

$a = 3b$

plug in a = 3b in the expression

$2a+4b=5$

$2(3b) + 4b = 5$

$6b+4b = 5$

Adding like terms: 6b+4b = 10b

$10b = 5$

Dividing both sides by 10

$\frac{10b}{10}=\frac{5}{10}$

simplify

$b=\frac{1}{2}$

so

a = 3b ⇒ a = 3(1/2) = 3/2

Therefore, the value of 3a can be determined by substituting a = 3/2 in 3a.

3a = 3(3/2) = 9/2

Therefore, the value of 3a = 9/2

Answer 2

Answer:

3a = $\frac{9}{2}$

Step-by-step explanation:

Given

2a + 4b = 5 ← substitute a = 3b into the equation

2(3b) + 4b = 5

6b + 4b = 5

10b = 5 ( divide both sides by 10 )

b = $\frac{5}{10}$ = $\frac{1}{2}$

Now

a = 3b = 3 × $\frac{1}{2}$ = $\frac{3}{2}$ , thus

3a = 3 × $\frac{3}{2}$ = $\frac{9}{2}$