Question

Question 3(Multiple Choice Worth 4 points)

(08.03)Solve the system of equations and choose the correct answer from the list of options.

2x + y = −4
y = 3x + 2

negative 6 over five comma negative 8 over 5
negative 8 over 5 comma negative 6 over 5
negative 5 over 6 comma negative 11 over 5
negative 11 over 5 comma negative 6 over 5

Answer 1

`\large\boxed{\left(-(6)/(5),\ -(8)/(5)\right)}`

Explanation:

`\left\{\begin{array}{ccc}2x+y=-4&(1)\\y=3x+2&(2)\end{array}\right\qquad\text{substitute (2) to (1)}\\\\2x+(3x+2)=-4\\2x+3x+2=-4\qquad\text{subtract 2 from both sides}\\5x=-6\qquad\text{divide both sides by 5}\\\boxed{x=-(6)/(5)}\qquad\text{put it to (2)}\\\\y=3\left(-(6)/(5)\right)+2\\\\y=-(18)/(5)+(10)/(5)\\\\\boxed{y=-(8)/(5)}`