Thank you for helping me with the last problem Reiny and Bosnian.

However, I have one more problem that I need help with please and I have no idea how work the problem. I used an on line calculator to get the answer. It didn't give an explanation on how to do the problem though. I need to know how to do future problems like this one. Please help.

{Y=3x+1
Y=5x-3
Answer says x=-2 and y=7

Please explain steps. Thanks

Y=3x+1 ...(1)

Y=5x-3 ...(2)

By comparison of (1) and (2), we conclude that
3x+1=Y=5x-3
3x+1=5x-3
solve for x to get
2x=4
x=2
Put x=2 in (1) to get
Y=3(2)+1=7
Check:
put x=2 in (2) to get
Y=5*2-3=7

If your program gives x=-2 and y=7, there must be a typo somewhere. Check your post.

No problem, I'm here to help! To find the solution to the system of equations Y = 3x + 1 and Y = 5x - 3, we can use the method of substitution. Here are the steps:

Step 1: We have two equations, Y = 3x + 1 and Y = 5x - 3. Since both equations are equal to Y, we can set them equal to each other:
3x + 1 = 5x - 3

Step 2: Now, we want to isolate the variable x. To do this, we can rearrange the equation by getting rid of the x term on one side of the equation. In this case, let's get rid of the 5x term. Subtract 3x from both sides:
3x - 5x + 1 = -3

Simplifying the left side gives us:
-2x + 1 = -3

Step 3: Next, we want to isolate the variable x. To do this, we can get rid of the constant term on one side of the equation. In this case, let's subtract 1 from both sides:
-2x + 1 - 1 = -3 - 1

Simplifying both sides gives us:
-2x = -4

Step 4: Now, we want to solve for x. Divide both sides of the equation by -2 to isolate x:
(-2x) / -2 = (-4) / -2

Simplifying gives us:
x = 2

Step 5: We have found the value of x, but we still need to find the value of y. We can substitute the value of x (which is 2) into one of the original equations to find y. Let's choose the first equation Y = 3x + 1:
Y = 3(2) + 1

Simplifying gives us:
Y = 6 + 1
Y = 7

So the solution to the system of equations is x = 2 and y = 7.

I hope that helps! Let me know if you have any further questions.