Solve using elimination method
x+5y=21
-x+5y=19
Add the two equations together, by adding the left and right sides separately. That gives you
10y = 40.
Next divide both sides by 10 for the value of x.
Once you know x, substitute its value into either of your original equations to calculate y.
So would the ordered pair be (1,4)?
To solve the given system of equations using the elimination method, you need to eliminate one of the variables by adding or subtracting the two equations. Let's eliminate the variable "x" by adding the two equations together.
(x + 5y) + (-x + 5y) = 21 + 19
When we add the left side of the equation, (x + 5y) + (-x + 5y), the "x" cancels out, leaving us with just 10y:
10y = 40
Now, divide both sides of the equation by 10 to solve for "y":
(10y)/10 = 40/10
y = 4
We have found the value of "y" as 4. Now substitute this value back into one of the original equations to solve for "x." Let's substitute it into the first equation:
x + 5y = 21
x + 5(4) = 21
x + 20 = 21
Now, subtract 20 from both sides:
x = 1
Therefore, the solution to the system of equations is x = 1 and y = 4.