Answered

Expand your knowledge base with the help of IDNLearn.com's extensive answer archive. Our community provides accurate and timely answers to help you understand and solve any issue.

Karen found that the solution to [tex]\(x - 7 + 5x = 36\)[/tex] is [tex]\(x = 6\)[/tex]. Which of these could be the way she found the solution?

A. Add [tex]\(x - 7 + 5x\)[/tex], add 36 to both sides of the equation.
B. Add [tex]\(x + 5x\)[/tex], subtract 7 from both sides of the equation.
C. Add [tex]\(x + 5x\)[/tex], add 7 to both sides of the equation.
D. Add [tex]\(-7\)[/tex] and [tex]\(5x\)[/tex], subtract [tex]\(x\)[/tex] from both sides of the equation.

Sagot :

GinnyAnsweridn
Let's start by examining the given equation step-by-step to find the correct way Karen could have found the solution.

The equation is:
[tex]\[ x - 7 + 5x = 36 \][/tex]

Step 1: Combine the like terms on the left side of the equation. The like terms here are [tex]\( x \)[/tex] and [tex]\( 5x \)[/tex]:

[tex]\[ (x + 5x) - 7 = 36 \][/tex]
[tex]\[ 6x - 7 = 36 \][/tex]

Step 2: To isolate the variable [tex]\( x \)[/tex], add 7 to both sides of the equation:

[tex]\[ 6x - 7 + 7 = 36 + 7 \][/tex]
[tex]\[ 6x = 43 \][/tex]

Step 3: Solve for [tex]\( x \)[/tex] by dividing both sides of the equation by 6:
[tex]\[ x = \frac{43}{6} \][/tex]

Thus, the correct option is:
[tex]\[ \boxed{\text{Add } x + 5x, \text{add 7 to both sides of the equation.}} \][/tex]
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for choosing IDNLearn.com. We’re committed to providing accurate answers, so visit us again soon.