what are the possible steps involved in solving the equation shown? select three options. 3.5 + 1.2(6.3…

what are the possible steps involved in solving the equation shown? select three options. 3.5 + 1.2(6.3 - 7x) = 9.38 add 3.5 and 1.2. distribute 1.2 to 6.3 and -7x. combine 6.3 and -7x. combine 3.5 and 7.56. subtract 11.06 from both sides.

what are the possible steps involved in solving the equation shown? select three options. 3.5 + 1.2(6.3 - 7x) = 9.38 add 3.5 and 1.2. distribute 1.2 to 6.3 and -7x. combine 6.3 and -7x. combine 3.5 and 7.56. subtract 11.06 from both sides.

Answer

Explanation:

Step1: Recall order - of - operations

In solving equations, we first deal with parentheses using the distributive property.

Step2: Analyze each option

  1. Adding 3.5 and 1.2 is incorrect as we first need to deal with the expression inside the parentheses.
  2. Distributing 1.2 to 6.3 and - 7x: Using the distributive property (a(b + c)=ab+ac), we have (1.2(6.3 - 7x)=1.2\times6.3-1.2\times7x = 7.56-8.4x), so this is a valid step.
  3. Combining 6.3 and - 7x is incorrect as they are not like - terms.
  4. After distributing, the equation becomes (3.5 + 7.56-8.4x=9.38). Then we can combine 3.5 and 7.56 (since they are like - terms) to get (11.06-8.4x = 9.38), so this is a valid step.
  5. After combining 3.5 and 7.56 to get (11.06-8.4x = 9.38), we can subtract 11.06 from both sides of the equation to isolate the term with (x). So this is a valid step.

Answer:

Distribute 1.2 to 6.3 and - 7x. Combine 3.5 and 7.56. Subtract 11.06 from both sides.