The solution to the system of equations is x=1.6 and y=−1.6. Therefore, the correct answer from the given options is (1.6,−1.6).
To find the solution to the system of equations y=1.5x−4 and y=−x, you can set the two expressions for y equal to each other:
1.5x−4=−x
Now, solve for x:
1.5x+x=4
2.5x=4
x= 4/2.5 =1.6
Now that you have the value of x, substitute it back into one of the original equations to find y. Let's use y=−x:
y=−(1.6)=−1.6
So, the solution to the system of equations is x=1.6 and y=−1.6. Therefore, the correct answer from the given options is
(1.6,−1.6).
Question
what is the solution to the system of equations? y = 1.5x – 4 y = –x (–1.6, 1.6) (–1.5, 1.5) (1.5, –1.5) (1.6, –1.6)