Answer:
The answer to question 14 is (6, 5), and the answer to question 15 is D) x = -2 and y = 1.
Step-by-step explanation:
Question 14 explanation: Because each line on the graph represents a different function, that means that the point where they intersect is the answer, as the point both appear on the equations [tex]y = \frac{1}{2} x+2[/tex] and [tex]y=x-1[/tex]. Since the two equations' point of intersection is (6, 5), that means the solution to the system of equations is the point (6, 5).
Question 15 explanation: The solution to the system of equations [tex]3x+4y=-2[/tex] and [tex]2x-4y=-8[/tex] would be the x and y values that satisfy both equations. If you select the pair on selection D, you'll find that it's valid. [tex]3(-2)+4(1)=-2[/tex] ⇒ [tex]-6+4=-2[/tex] ⇒ [tex]-2 = -2[/tex], which is true, so choice D works for the first equation. [tex]2(-2)-4(1)=-8[/tex] ⇒ [tex]-4-4=-8[/tex] ⇒ [tex]-8=-8[/tex], which is also true. This means that x = -2 and y = 1 is the solution to the system of equations, making choice D the correct answer.
