Answer:
Therefore, the solution to the system of equations is (x, y) = (1.6, -1.6).
Based on the answer choices provided, none of them match the solution (1.6, -1.6). So, the correct answer is not listed among the options given.
Explanation:
To find the solution to the system of equations, we need to find the values of x and y that satisfy both equations simultaneously.
The given system of equations is:
y = 1.5x - 4 ...(Equation 1)
y = -x ...(Equation 2)
To find the solution, we can equate the right sides of both equations:
1.5x - 4 = -x
We can solve this equation for x:
1.5x + x = 4
2.5x = 4
x = 4 / 2.5
x = 1.6
Now that we have the value of x, we can substitute it back into either equation to find the corresponding value of y. Let's use Equation 2:
y = -x
y = -1.6
Therefore, the solution to the system of equations is (x, y) = (1.6, -1.6).
Based on the answer choices provided, none of them match the solution (1.6, -1.6). So, the correct answer is not listed among the options given.