Question

David wants to find the solutions of this system of equations: –4x – 7 = y x2 – 2x – 6 = y Which statement is true? Plz its urgent!!

Answer 1

Answer:

(-1, -3)

Step-by-step explanation:

The given equations are:

$-4x-7=y ...... (1)$

and

$x^2 - 2x - 6 = y ....... (2)$

Equating (1) and (2):

$-4x -7 =x^{2}-2x-6\\\Rightarrow x^{2}-2x-6+4x+7=0\\\Rightarrow x^{2}+2x+1=0\\\Rightarrow (x+1)^2=0\\\Rightarrow x = -1$

The two values of x are repeating in nature i.e. x = -1

So, value of $x$ is -1.

Putting value of $x$ in equation (1):

$-4 \times (-1)-7=y \\\Rightarrow y=-3$

The solution is represented as ($x,y$)

So, the solutions are :

(-1, -3)