what is the solution for the following system of equations?\n2x + y = 7\nx - 2y = 6\n(-1,4)\n(3,1)\n(1,3)\n(4…

what is the solution for the following system of equations?\n2x + y = 7\nx - 2y = 6\n(-1,4)\n(3,1)\n(1,3)\n(4,-1)\n28\nmultiple choice 2 points\nlet f(x) = (x² - 1)⁴. over what interval is the function decreasing?\n(-1,1)\n(-1,0) and (1, ∞)\n(-∞,-1) and (0,1)\n(1, ∞)\n29\nmultiple choice 2 points\nif a fair coin is tossed five times, the probability of getting exactly two h

what is the solution for the following system of equations?\n2x + y = 7\nx - 2y = 6\n(-1,4)\n(3,1)\n(1,3)\n(4,-1)\n28\nmultiple choice 2 points\nlet f(x) = (x² - 1)⁴. over what interval is the function decreasing?\n(-1,1)\n(-1,0) and (1, ∞)\n(-∞,-1) and (0,1)\n(1, ∞)\n29\nmultiple choice 2 points\nif a fair coin is tossed five times, the probability of getting exactly two h

Answer

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): [ \begin{align*} 2(2y + 6)+y&=7\ 4y+12 + y&=7\ 5y&=7 - 12\ 5y&=- 5\ y&=-1 \end{align*} ]

Step2: Find the value of (x)

Substitute (y = - 1) into (x = 2y+6): [ \begin{align*} x&=2\times(-1)+6\ x&=-2 + 6\ x&=4 \end{align*} ]

Answer:

((4,-1))