Answer:
x=−5 and y=−2
Step-by-step explanation:
To solve this system of equations, you can use the method of elimination. You'll eliminate one of the variables by adding or subtracting the equations from each other.
Let's start by adding the two equations together:
(x + 5y) + (x − 5y) = −15 + 5
This simplifies to:
2x = −10
Now, divide both sides by 2:
x = −5
Now that we have found the value of x, we can substitute this value into one of the original equations to find y.
Let's use the first equation:
x + 5y = −15
Substitute x = −5:
−5 + 5y = −15
Now, solve for y:
5y = −15 + 5
5y = −10
Divide both sides by 5:
y = −2
So, the solution to the system of equations is x = −5 and y = −2.