-x+5y=13
x-y=15
Solve by using process of elimination.
add the two equations to get
4y = 28
y = 7
so, x = 22
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http://www.gregthatcher.com/Mathematics/GaussJordan.aspx
to see the intermediate steps
To solve the system of equations using the process of elimination, we'll eliminate one of the variables by adding or subtracting the equations.
Looking at the given equations:
1) -x + 5y = 13
2) x - y = 15
We can eliminate the variable 'x' by adding equation 1) and equation 2) together. By doing so, the 'x' term will cancel out, allowing us to solve for 'y'.
Now, let's add equation 1) and equation 2):
(-x + 5y) + (x - y) = 13 + 15
When we simplify the equation, the 'x' term cancels out:
- x + x + 5y - y = 28
And we are left with:
4y = 28
Next, we can solve for 'y' by dividing both sides of the equation by 4:
4y/4 = 28/4
Simplifying further, we find:
y = 7
Now that we have the value of 'y', we can substitute it back into one of the original equations to solve for 'x'. Let's substitute 'y = 7' into equation 2):
x - 7 = 15
Adding '7' to both sides, we get:
x = 15 + 7
Simplifying:
x = 22
Therefore, the solution to the system of equations is x = 22 and y = 7.