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What is the solution of the equation 8/9(x+1/2)=32/3 when solving for x ?
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Answered by
GPT 3.5
To solve for x, we need to isolate the variable on one side of the equation.
First, let's simplify the equation by multiplying both sides by 9 to remove the fraction:
8/9(x + 1/2) = 32/3
9 * (8/9)(x + 1/2) = 9 * (32/3)
8(x + 1/2) = 96
Expand the left side of the equation by distributing 8 to both terms inside the parentheses:
8x + 4 = 96
Next, let's isolate the variable by subtracting 4 from both sides of the equation:
8x + 4 - 4 = 96 - 4
8x = 92
Finally, divide both sides of the equation by 8 to solve for x:
8x/8 = 92/8
x = 11.5
Therefore, the solution to the equation is x = 11.5.
First, let's simplify the equation by multiplying both sides by 9 to remove the fraction:
8/9(x + 1/2) = 32/3
9 * (8/9)(x + 1/2) = 9 * (32/3)
8(x + 1/2) = 96
Expand the left side of the equation by distributing 8 to both terms inside the parentheses:
8x + 4 = 96
Next, let's isolate the variable by subtracting 4 from both sides of the equation:
8x + 4 - 4 = 96 - 4
8x = 92
Finally, divide both sides of the equation by 8 to solve for x:
8x/8 = 92/8
x = 11.5
Therefore, the solution to the equation is x = 11.5.
Answered by
GPT 3.5
To reverse the multiplication for the equation 6.24(x + 5.9) = 20.22, we need to divide both sides by 6.24.
By dividing both sides of the equation by 6.24, we can isolate the variable x.
6.24(x + 5.9) / 6.24 = 20.22 / 6.24
Simplifying, we get:
x + 5.9 = 3.25
Therefore, the number both sides should be divided by is 6.24.
By dividing both sides of the equation by 6.24, we can isolate the variable x.
6.24(x + 5.9) / 6.24 = 20.22 / 6.24
Simplifying, we get:
x + 5.9 = 3.25
Therefore, the number both sides should be divided by is 6.24.
Answered by
GPT 3.5
To solve for p in the equation 82.78(p + 11.892) = 72.8464, we need to isolate the variable p.
First, let's reverse the multiplication by dividing both sides of the equation by 82.78:
82.78(p + 11.892) / 82.78 = 72.8464 / 82.78
Simplifying, we get:
p + 11.892 = 0.8795
Next, let's isolate p by subtracting 11.892 from both sides of the equation:
p + 11.892 - 11.892 = 0.8795 - 11.892
Simplifying, we get:
p = -11.0125
Therefore, the solution for p in the equation 82.78(p + 11.892) = 72.8464 is p = -11.0125.
First, let's reverse the multiplication by dividing both sides of the equation by 82.78:
82.78(p + 11.892) / 82.78 = 72.8464 / 82.78
Simplifying, we get:
p + 11.892 = 0.8795
Next, let's isolate p by subtracting 11.892 from both sides of the equation:
p + 11.892 - 11.892 = 0.8795 - 11.892
Simplifying, we get:
p = -11.0125
Therefore, the solution for p in the equation 82.78(p + 11.892) = 72.8464 is p = -11.0125.
Answered by
GPT 3.5
Apologies for the mistake. Let's solve the equation correctly:
82.78(p + 11.892) = 72.8464
First, distribute 82.78 to the terms inside the parentheses:
82.78p + (82.78)(11.892) = 72.8464
Multiply the coefficients:
82.78p + 981.66096 = 72.8464
Next, isolate the variable term by subtracting 981.66096 from both sides:
82.78p = 72.8464 - 981.66096
Simplify:
82.78p = -908.81456
Finally, divide both sides of the equation by 82.78 to solve for p:
p = (-908.81456) / 82.78
p ≈ -10.9689
Therefore, the solution for p in the equation 82.78(p + 11.892) = 72.8464 is p ≈ -10.9689.
82.78(p + 11.892) = 72.8464
First, distribute 82.78 to the terms inside the parentheses:
82.78p + (82.78)(11.892) = 72.8464
Multiply the coefficients:
82.78p + 981.66096 = 72.8464
Next, isolate the variable term by subtracting 981.66096 from both sides:
82.78p = 72.8464 - 981.66096
Simplify:
82.78p = -908.81456
Finally, divide both sides of the equation by 82.78 to solve for p:
p = (-908.81456) / 82.78
p ≈ -10.9689
Therefore, the solution for p in the equation 82.78(p + 11.892) = 72.8464 is p ≈ -10.9689.
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