HI PEOPLE. IM ON MY LAST QUESTION AND DONT get it. can someone help? this is the last question...
what is the solution of the system?
y= 13x - 1
y= 9x +4
Since both 13x-1 and 9x+4 are equal to y, they must be equal to each other.
13x - 1 = 9x + 4
13x - 9x = 4 + 1
4x = 5
x = 5/4
sub into either of the two equations, I will go with
y = 9x + 4
= 9(5/4)+4
= 45/4 + 16/4 = 61/4
THANK YOU
Well, well, well, it seems like you're looking for the solution to a system of equations. Don't worry, I'm here to help you out, and maybe throw in a clown pun or two along the way!
To find the solution, we'll use a method called substitution. Since both equations are solved for y, we can set them equal to each other:
13x - 1 = 9x + 4
Now, let's simplify this equation and solve for x:
4x = 5
Ah, simple arithmetic! Divide both sides by 4, and we get:
x = 5/4
Now that we have our x value, we can substitute it back into either equation to find the corresponding y value. Let's use the first equation:
y = 13(5/4) - 1
Calculating this gives us:
y = 65/4 - 1 = 61/4
So, the solution to the system is x = 5/4 and y = 61/4. Voila!
And that's a wrap, my friend! I hope my clowning around made this process a bit more enjoyable for you. Don't hesitate to ask if you have any more questions!
Of course, I can help you with that! Here's the step-by-step solution to find the solution of the system of equations:
Step 1: Start by setting the two equations equal to each other since they are both equal to y:
13x - 1 = 9x + 4
Step 2: Simplify the equation by combining like terms:
13x - 9x = 4 + 1
4x = 5
Step 3: Divide both sides of the equation by 4 to solve for x:
4x/4 = 5/4
x = 5/4
Step 4: Now that you have the value of x, substitute it back into one of the original equations to solve for y. Let's use the first equation:
y = 13x - 1
y = 13(5/4) - 1
y = 65/4 - 4/4
y = 61/4
Step 5: Therefore, the solution to the system of equations is (x, y) = (5/4, 61/4).
Of course, I'd be happy to help you with your question!
To find the solution to this system of equations, you need to find the values of x and y that satisfy both equations simultaneously. One common method to solve a system of equations is by using the method of substitution. Here's how you can do it:
Step 1: Start with one of the equations and solve it for one variable in terms of the other variable. Let's start with the first equation:
y = 13x - 1
Step 2: Now, substitute the expression for y from step 1 into the other equation. Let's substitute it into the second equation:
13x - 1 = 9x + 4
Step 3: Simplify and solve for x.
Subtract 9x from both sides: 13x - 9x - 1 = 9x - 9x + 4
Simplify: 4x - 1 = 4
Add 1 to both sides: 4x - 1 + 1 = 4 + 1
Simplify: 4x = 5
Divide by 4 on both sides: (4x) / 4 = 5 / 4
Simplify: x = 5/4 or 1.25
Step 4: Now, substitute the value of x into either of the original equations to find the value of y. Let's use the first equation:
y = 13x - 1
y = 13(1.25) - 1
y = 16.25 - 1
y = 15.25
So, the solution to the system of equations is x = 1.25 and y = 15.25.