what is the solution to the system of equations?\n\\begin{cases}10x + 3y = 43\\\\-9x - y =…

what is the solution to the system of equations?\n\\begin{cases}10x + 3y = 43\\\\-9x - y = -20\\end{cases}\n\\bigcirc\\ (11, 1)\n\\bigcirc\\ (1, 11)\n\\bigcirc\\ (-1, 11)\n\\bigcirc\\ (11, -1)

what is the solution to the system of equations?\n\\begin{cases}10x + 3y = 43\\\\-9x - y = -20\\end{cases}\n\\bigcirc\\ (11, 1)\n\\bigcirc\\ (1, 11)\n\\bigcirc\\ (-1, 11)\n\\bigcirc\\ (11, -1)

Answer

Explanation:

Step1: Solve the second equation for y

From (-9x - y = -20), we can rewrite it as (y = -9x + 20).

Step2: Substitute y into the first equation

Substitute (y = -9x + 20) into (10x + 3y = 43): (10x + 3(-9x + 20) = 43) (10x - 27x + 60 = 43) (-17x = 43 - 60) (-17x = -17) (x = 1)

Step3: Find y using x = 1

Substitute (x = 1) into (y = -9x + 20): (y = -9(1) + 20 = -9 + 20 = 11) So the solution is ((1, 11)).

Answer:

(1, 11)