Question

what is the solution for the following system of equations?
2x + y = 7
x - 2y = 6
(-1,4)
(3,1)
(1,3)
(4,-1)
28
multiple choice 2 points
let f(x) = (x² - 1)⁴. over what interval is the function decreasing?
(-1,1)
(-1,0) and (1, ∞)
(-∞,-1) and (0,1)
(1, ∞)
29
multiple choice 2 points
if a fair coin is tossed five times, the probability of getting exactly two h

Explanation:

Step1: Solve the system of equations using substitution

From the second equation \(x - 2y=6\), we can express \(x\) as \(x = 2y + 6\).
Substitute \(x = 2y+6\) into the first equation \(2x + y=7\):

$$
LATEXBLOCK0
$$

Step2: Find the value of \(x\)

Substitute \(y = - 1\) into \(x = 2y+6\):

$$
LATEXBLOCK1
$$

Answer:

\((4,-1)\)