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$4a+6b=10$ $2a-4b=12$ what is $12a$

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Solve equations involving like terms

Full solution

Q.

4a+6b=10

2a-4b=12

what is

12a

Multiply by $2$ : First, let's multiply the second equation by $2$ to make the coefficient of $a$ the same in both equations. $\newline$ So, $2\times(2a - 4b) = 2\times12$ gives us $4a - 8b = 24$ .
Subtract to eliminate $a$ : Now, we subtract the second equation from the first one to eliminate $a$ .(4a + 6b) - (4a - 8b) = 10 - 24\. This simplifies to \$14b = -14.
Solve for b: Next, we divide both sides by $14$ to solve for b. $\newline$ $b = \frac{-14}{14}$ , which simplifies to $b = -1$ .
Substitute $b$ into equation: Now we'll substitute $b = -1$ back into one of the original equations to solve for $a$ . Let's use the first equation: $4a + 6(-1) = 10$ . This simplifies to $4a - 6 = 10$ .
Isolate $4a$ term: Add $6$ to both sides to isolate the $4a$ term. $\newline$ $4a = 10 + 6$ , which simplifies to $4a = 16$ .
Solve for $a$ : Now, divide both sides by $4$ to solve for $a$ . $a = \frac{16}{4}$ , which simplifies to $a = 4$ .
Find $12a$ : Finally, we need to find the value of $12a$ . So we multiply the value of $a$ by $12$ . $12a = 12 \times 4$ , which simplifies to $12a = 48$ .

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