ok ihave three problems for homework in algebra 1 honors Y+3=3+Y
6*1/2-Y=3*2
3/4+Y=0.75+Y
Math assistance needed.
For cases where you have 0=0, like your first and third problem, notice how plugging any number for Y will work. The numbers on to the left and to right of the equal sign will always equal. Therefore, you'll say Y= all real numbers.
For the second problem, you solve for Y by first multiplying the numbers out 6*1/2 = 3 and 3*2 =6. Next, you solve by getting Y on one side. -Y= 6-3 After that, you eliminate the negative sign on the Y by dividing both sign by negative 1.
To solve these algebraic equations, we need to follow some steps:
1. Problem 1: Y+3 = 3+Y
This equation looks simple, but let's proceed to solve it step by step for completeness.
- We notice that the variables Y are on both sides of the equation.
- Subtracting Y from both sides, we get: Y - Y + 3 = 3 - Y + Y.
- Simplifying the equation, we have: 3 = 3.
Explanation: In this case, Y cancels out on both sides, and we end up with a true statement. This means that the original equation is true for all values of Y. Therefore, this equation has infinitely many solutions.
2. Problem 2: 6 * 1/2 - Y = 3 * 2
This equation involves fractions, so let's proceed carefully.
- First, let's simplify the fractions: 6 * 1/2 simplifies to 6 * 0.5, and 3 * 2 simplifies to 6.
- Rewriting the equation with the simplified values: 6 * 0.5 - Y = 6.
- Next, perform the multiplication: 3 - Y = 6.
- To isolate the variable Y, we subtract 3 from both sides: 3 - Y - 3 = 6 - 3.
- Simplifying further, we have: -Y = 3.
- Multiplying both sides by -1 (to get Y positive), we get: -1 * -Y = -1 * 3.
- Finally, simplifying further gives: Y = -3.
Explanation: In this case, we solve the equation step by step, eliminating Y from one side to the other. After simplification and isolating the Y term, we find that Y is equal to -3.
3. Problem 3: 3/4 + Y = 0.75 + Y
This equation includes fractions and variables on both sides.
- Start by simplifying the fraction 0.75 to 3/4.
- Rewriting the equation, we have: 3/4 + Y = 3/4 + Y.
- Subtracting 3/4 from both sides, we get: 3/4 - 3/4 + Y = 3/4 - 3/4 + Y.
- Simplifying the equation, we have: Y = Y.
Explanation: In this case, the variable Y appears on both sides and cancels out. Hence, the original equation is true for all values of Y. Therefore, this equation also has infinitely many solutions.