Hello, can someone help me solve and check the following
1) x - 8 = 20 Check:
2) x + 15 = 35 Check:
3) -x +6 = 3 Check:
The symbol 'x' is in italic. If I can understand the symbols better, I belive I can get the hang of the course.
x is a variable, meaning that the value it represents can change. Given the equations, your goal is to find its value.
1)
x - 8 = 20
Add 8 to both sides to isolate x.
x - 8 + 8 = 20 + 8
x = 28
And that is the value of x in problem 1). Try the other problems.
n(r)=|r+2|+3;find h(6)
Of course, I'd be happy to help you solve and check these equations!
To solve an equation, the goal is to isolate the variable (in this case, 'x') on one side of the equation. The idea is to perform the same operation on both sides of the equation in order to maintain equality. Here's how you can solve each equation step by step:
1) x - 8 = 20
To isolate 'x', you need to get rid of the "-8" on the left side of the equation. You can do this by adding 8 to both sides of the equation:
x - 8 + 8 = 20 + 8
This simplifies to:
x = 28
2) x + 15 = 35
In this equation, you need to subtract 15 from both sides to isolate 'x':
x + 15 - 15 = 35 - 15
This simplifies to:
x = 20
3) -x + 6 = 3
To isolate 'x' in this equation, you can subtract 6 from both sides:
- x + 6 - 6 = 3 - 6
This simplifies to:
- x = -3
However, notice that in this equation, 'x' has a coefficient of -1. To get a positive 'x', you can multiply both sides by -1 to change the sign:
(-1) * (-x) = (-1) * (-3)
Simplifying further:
x = 3
Now, let's check the solutions for each equation:
1) x - 8 = 20
To check, substitute the value of 'x' (which is 28) back into the equation:
28 - 8 = 20
This is indeed true, as 20 is equal to 20.
2) x + 15 = 35
Again, substitute the value of 'x' (which is 20) back into the equation:
20 + 15 = 35
This equation is also true since 35 is indeed equal to 35.
3) -x + 6 = 3
Substitute the value of 'x' (which is 3) back into the equation:
-3 + 6 = 3
This equation is also true, as 3 is equal to 3.
So, all three solutions are correct!
I hope this explanation helps you understand how to solve equations and check solutions. If you have any further questions, feel free to ask!