At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
Let's solve the equation step-by-step to find the value of [tex]\( x \)[/tex] from the given options.
The given equation is:
[tex]\[ -10x + 1 + 7x = 37 \][/tex]
### Step 1: Combine Like Terms
First, we need to simplify the left-hand side of the equation by combining like terms.
[tex]\[ -10x + 7x + 1 = 37 \][/tex]
Combine the [tex]\( x \)[/tex] terms:
[tex]\[ -3x + 1 = 37 \][/tex]
### Step 2: Isolate the Variable Term
Next, we want to isolate the variable term [tex]\(-3x\)[/tex]. To do this, subtract 1 from both sides of the equation:
[tex]\[ -3x + 1 - 1 = 37 - 1 \][/tex]
Simplifying this, we get:
[tex]\[ -3x = 36 \][/tex]
### Step 3: Solve for [tex]\( x \)[/tex]
To find [tex]\( x \)[/tex], divide both sides of the equation by [tex]\(-3\)[/tex]:
[tex]\[ x = \frac{36}{-3} \][/tex]
Simplifying this, we obtain:
[tex]\[ x = -12 \][/tex]
So, the solution to the equation is [tex]\(-12\)[/tex].
### Step 4: Verify with Given Options
We are given the options:
- [tex]\( x = -15 \)[/tex]
- [tex]\( x = -12 \)[/tex]
- [tex]\( x = 12 \)[/tex]
- [tex]\( x = 15 \)[/tex]
From our calculated result, the correct value of [tex]\( x \)[/tex] is [tex]\(-12\)[/tex].
Thus, the solution to the equation [tex]\(-10x + 1 + 7x = 37\)[/tex] is:
[tex]\[ \boxed{-12} \][/tex]
The given equation is:
[tex]\[ -10x + 1 + 7x = 37 \][/tex]
### Step 1: Combine Like Terms
First, we need to simplify the left-hand side of the equation by combining like terms.
[tex]\[ -10x + 7x + 1 = 37 \][/tex]
Combine the [tex]\( x \)[/tex] terms:
[tex]\[ -3x + 1 = 37 \][/tex]
### Step 2: Isolate the Variable Term
Next, we want to isolate the variable term [tex]\(-3x\)[/tex]. To do this, subtract 1 from both sides of the equation:
[tex]\[ -3x + 1 - 1 = 37 - 1 \][/tex]
Simplifying this, we get:
[tex]\[ -3x = 36 \][/tex]
### Step 3: Solve for [tex]\( x \)[/tex]
To find [tex]\( x \)[/tex], divide both sides of the equation by [tex]\(-3\)[/tex]:
[tex]\[ x = \frac{36}{-3} \][/tex]
Simplifying this, we obtain:
[tex]\[ x = -12 \][/tex]
So, the solution to the equation is [tex]\(-12\)[/tex].
### Step 4: Verify with Given Options
We are given the options:
- [tex]\( x = -15 \)[/tex]
- [tex]\( x = -12 \)[/tex]
- [tex]\( x = 12 \)[/tex]
- [tex]\( x = 15 \)[/tex]
From our calculated result, the correct value of [tex]\( x \)[/tex] is [tex]\(-12\)[/tex].
Thus, the solution to the equation [tex]\(-10x + 1 + 7x = 37\)[/tex] is:
[tex]\[ \boxed{-12} \][/tex]
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.