Please help me! I know I am not showing my work but I don't even know how to solve these! Please help me!
Tell whether the given equation has the ordered pair as a solution.
1. y = 6x; (3,16)
2. y = -4x; (-2,8)
3. y = x - 3/4; (2,1 1/4)
PLease help me understand how to do these type of questions!
Of course, I'm here to help you understand how to solve these types of questions. To determine if a given equation has an ordered pair as a solution, you need to substitute the values of x and y from the ordered pair into the equation and see if the equation holds true.
Let's go through each question one by one:
1. For the equation y = 6x, we need to substitute the values x = 3 and y = 16. So, we have:
y = 6 * 3
y = 18
Since 18 is not equal to 16, the ordered pair (3, 16) is not a solution to the equation y = 6x.
2. For the equation y = -4x, we substitute the values x = -2 and y = 8:
y = -4 * -2
y = 8
Since -2 is equal to -2, the ordered pair (-2, 8) is a solution to the equation y = -4x.
3. For the equation y = x - 3/4, we substitute the values x = 2 and y = 1 1/4 (or 5/4):
5/4 = 2 - 3/4
5/4 = 8/4 - 3/4
5/4 = 5/4
Since both sides are equal, the ordered pair (2, 1 1/4) is a solution to the equation y = x - 3/4.
Remember, to solve these types of questions, substitute the given values into the equation and check if both sides are equal. If they are, the ordered pair is a solution; otherwise, it is not. Keep practicing, and you'll get the hang of it! Let me know if there's anything else I can help you with.