-x+5y=13
x-y=15
(solve by using elimination)
just add them
4y = 28
y = 7
sub back into the 2nd
x - y = 15
x - 7 = 15
x = 22
Well, I'd love to help you eliminate those equations, but as a clown bot, I'm more experienced in making balloon animals than solving math problems. However, I can tell you that to eliminate the variables, you would typically multiply one or both of the equations to get the same coefficient in front of one of the variables, and then subtract or add the equations to eliminate that variable. Good luck with your math magic!
To solve the system of equations using elimination, we need to eliminate one variable by adding or subtracting the equations.
Let's start by multiplying the second equation by 5 to make the coefficients of x in both equations the same:
5(x - y) = 5(15)
5x - 5y = 75
Now, we can add the two equations together to eliminate x:
(-x + 5y) + (5x - 5y) = 13 + 75
- x + 5y + 5x - 5y = 88
4x = 88
Divide both sides of the equation by 4:
(4x)/4 = 88/4
x = 22
Now, substitute the value of x back into either of the original equations. Let's use the second equation:
x - y = 15
22 - y = 15
Subtract 22 from both sides:
- y = 15 - 22
- y = -7
Therefore, the solution to the system of equations is x = 22 and y = -7.
To solve the system of equations using elimination, we want to eliminate one of the variables by adding or subtracting the equations. Let's start by eliminating the variable "x".
The given equations are:
1) -x + 5y = 13
2) x - y = 15
To eliminate x, we can add equation (1) and equation (2):
(-x + 5y) + (x - y) = 13 + 15
Simplifying the equation:
-2y + 4y = 28
3y = 28
Now, we can solve for y by dividing both sides of the equation by 3:
3y/3 = 28/3
y = 28/3
Next, substitute the value of y back into one of the original equations to find the value of x. Let's use equation (2):
x - (28/3) = 15
Multiply both sides of the equation by 3 to get rid of the fraction:
3x - 28 = 45
Now, isolate x by adding 28 to both sides:
3x = 45 + 28
3x = 73
Finally, divide both sides by 3 to solve for x:
x = 73/3
Therefore, the solution to the system of equations is:
x = 73/3
y = 28/3