Introduction
Greetings, readers! On this complete information, we’ll embark on a mathematical journey to unravel the equation –3g–10=–6g+8. We’ll delve into varied methods and methods to unravel the mysteries of this algebraic expression. So, seize a pen, paper, and a cup of espresso, and let’s get began!
Isolating the Variable: g
Step 1: Add 10 to Each Sides
To start, let’s add 10 to either side of the equation to isolate the time period with the variable "g" on one aspect:
–3g–10 + 10 = –6g+8 + 10
–3g = –6g + 18
Step 2: Subtract –6g from Each Sides
Now, let’s subtract –6g from either side to get "g" all by itself:
–3g – (–6g) = –6g + 18 – (–6g)
3g = 18
Fixing for g
Step 3: Divide Each Sides by 3
Lastly, to seek out the worth of "g," we divide either side by 3:
(3g) / 3 = 18 / 3
g = 6
Subsequently, the answer to the equation –3g–10=–6g+8 is g = 6.
Purposes of the Equation
The equation –3g–10=–6g+8 can have varied sensible purposes, together with:
Linear Equations in Physics
This equation can be utilized to unravel issues associated to movement, the place "g" represents acceleration as a consequence of gravity.
Balancing Chemical Equations
In chemistry, this equation will be utilized to stability chemical equations by adjusting the coefficients of reactants and merchandise to make sure equal numbers of atoms on either side.
Desk Breakdown
| Variable | Worth |
|---|---|
| g | 6 |
| Coefficient of g | -3 |
| Fixed on the left aspect | -10 |
| Coefficient of g on the appropriate aspect | -6 |
| Fixed on the appropriate aspect | 8 |
Conclusion
Congratulations, readers! You have efficiently solved the equation –3g–10=–6g+8. Bear in mind, apply is essential in terms of fixing algebraic equations. Should you’re excited about exploring extra mathematical challenges, you’ll want to take a look at our different articles on fixing equations, inequalities, and extra. Till subsequent time, keep curious and continue to learn!
FAQ about “–3g–10=–6g+8”
How do I clear up the equation “–3g–10=–6g+8”?
Mix like phrases on either side of the equation: -3g – 10 = -6g + 8 turns into -3g + 6g = 10 + 8, which simplifies to 3g = 18.
What’s the worth of g within the equation “–3g–10=–6g+8”?
Divide either side of the equation by 3: 3g = 18 turns into g = 18/3, which simplifies to g = 6.
What is step one in fixing the equation “–3g–10=–6g+8”?
Add 6g to either side of the equation: -3g – 10 + 6g = -6g + 8 + 6g.
What’s the simplified type of the equation “–3g–10=–6g+8”?
-3g – 10 = -6g + 8 simplifies to 3g = 18.
What’s the reverse of the equation “–3g–10=–6g+8”?
The other of the equation -3g – 10 = -6g + 8 is 3g + 10 = 6g – 8.
What’s the equation of a line that’s perpendicular to the road represented by the equation “–3g–10=–6g+8”?
The equation of a line perpendicular to the road represented by the equation -3g – 10 = -6g + 8 is 6g – y = c, the place c is a continuing.
What’s the slope of the road represented by the equation “–3g–10=–6g+8”?
The slope of the road represented by the equation -3g – 10 = -6g + 8 is -3.
What’s the y-intercept of the road represented by the equation “–3g–10=–6g+8”?
The y-intercept of the road represented by the equation -3g – 10 = -6g + 8 is -10.
What’s the graph of the road represented by the equation “–3g–10=–6g+8”?
The graph of the road represented by the equation -3g – 10 = -6g + 8 is a straight line with a slope of -3 and a y-intercept of -10.
What’s the answer set of the equation “–3g–10=–6g+8”?
The answer set of the equation -3g – 10 = -6g + 8 is {6}.
