Answer:
x = 3
Step-by-step explanation:
5x - 1 = 3x +5
-3x
2x - 1 = 5
+1
2x = 6
devide by x
x = 3
Step-by-step explanation:
hoped this helped have a nice day
When solving a linear equation (in one variable), there are three possible outcomes: one solution, no solution, and infinitely many solutions.
You know you have one solution when you get to a situation like “x= a number”. That means that’s the only x-value that makes the equation true.
If you get to something like “2=6” which is not true, that means the equation cannot ever be made true, so there is no solution to that equation.
If you get to something like “2=2” which is always true, that means the equation is always true, no matter what value you pick for the variable. This type of equation has infinitely many solutions.
In terms of your specific question, the third answer is the one that is a true statement.
Answer:
g = 1/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
9 + 3.5g = 11 - 0.5g
<u>Step 2: Solve for </u><em><u>g</u></em>
- Add 0.5g on both sides: 9 + 4g = 11
- Subtract 9 on both sides: 4g = 2
- Divide 4 on both sides: g = 1/2
<u>Step 3: Check</u>
<em>Plug in g into the original equation to verify it's a solution.</em>
- Substitute in <em>g</em>: 9 + 3.5(1/2) = 11 - 0.5(1/2)
- Multiply: 9 + 1.75 = 11 - 0.25
- Add/Subtract: 10.75 = 10.75
Here we see that 10.75 does indeed equal 10.75.
∴ g = 1/2 is a solution of the equation.
