Final Answer:
The x-coordinate of the solution to the given system of equations x - y = -3 and x + 3y = 5 is x = 1.
Step-by-step explanation:
To find the x-coordinate of the solution to the given system of equations, we need to solve the system. The system of equations is:
1) x - y = -3
2) x + 3y = 5
We can solve this system using the substitution or elimination method. Let's solve it using the elimination method by subtracting the two equations together. This will allow us to eliminate the x variable and solve for y directly.
Subtracting equation 1) from equation 2) gives us:
(x + 3y) - (x - y) = 5 - (-3)
Combining like terms, we get:
2y = 8
Divide both sides by 2:
2y / 2 = 8 / 2
y = 4
Substitute the value of y in either of the two equations and solve for x.
x - y = -3
x - 4 = -3
x = -3 + 4
x = 1
Therefore, the x-coordinate of the solution to the given system of equations is x = 1.