Answer:Sorry and didn't give you the full explanation i just explained it so you kind get it cause me myself didn't understand so i just explained what you need to do
Explanation:
To get Equation B from Equation A, we need to perform the same operation on both sides of Equation A. Let's assume Equation A is:
Equation A: 2x + 5 = 15
To transform Equation A into Equation B, we can subtract 5 from both sides of the equation:
2x + 5 - 5 = 15 - 5
This simplifies to:
2x = 10
Therefore, Equation B is:
Equation B: 2x = 10
Are the equations equivalent?
Yes, the equations are equivalent. This means that they have the same solution. To confirm this, we can solve Equation B for x:
Divide both sides of Equation B by 2:
(2x) / 2 = 10 / 2
x = 5
Therefore, x = 5 is the solution to both Equation A and Equation B.
Answer two questions about Equations A and B:
1. Are Equation A and Equation B linear equations?
Yes, both Equation A and Equation B are linear equations. This is because they are both equations with variables raised to the first power (power of 1), and there are no higher powers or terms involving variables multiplied together.
2. How many solutions do Equations A and B have?
Both Equation A and Equation B have one solution. In this case, the solution is x = 5, which satisfies both equations.