Question

solving linear equations involving distribution. solve the linear equation 3.4 + 2(9.7 - 4.8x)=?. what are the possible steps involved in solving this equation? check all that apply. add 3.4 and 2. distribute 2 to 9.7 and -4.8x. combine 3.4 and 19.4. divide both sides by 22.8. subtract 22.8 from both sides. divide both sides by -9.6.

Explanation:

Step1: Apply distributive property

We have the equation $3.4 + 2(9.7-4.8x)=?$. By the distributive property $a(b + c)=ab+ac$, we distribute 2 to 9.7 and - 4.8x. So we get $3.4+(2\times9.7-2\times4.8x)=3.4 + 19.4-9.6x$.

Step2: Combine like - terms

Combine the constant terms 3.4 and 19.4. $3.4+19.4 = 22.8$, so the equation becomes $22.8-9.6x$. Then, to solve for x, we first isolate the term with x. We can do this by subtracting 22.8 from both sides (if the right - hand side is non - zero) and then dividing both sides by - 9.6.

Answer:

B. Distribute 2 to 9.7 and -4.8x
C. Combine 3.4 and 19.4
F. Divide both sides by -9.6