Question

What is the solution to the system of equations graphed below

Answer 1

Equation 1 ==> y = -4x + 2
Equation 2 ==> y = x - 3

Substitude equation 2 into 1

x - 3 = -4x + 2
-5 = -5x
x = 1

Substitude x into equation 2

y = 1 - 3
y = -2

Coordinates is (1, -2)
Answer is D.

Answer 2

Answer: The correct option is (D) (1, -2).

Step-by-step explanation: We are given to find the solution to the following system of equations graphed in the picture :

`y=-4x+2~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x-3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)`

Comparing equations (i) and (ii), we get

`-4x+2=x-3\\\\\Rightarrow 4x+x=2+3\\\\\Rightarrow 5x=5\\\\\Rightarrow x=(5)/(5)\\\\\Rightarrow x=1.`

Substituting the value of x in equation (ii), we get

`y=x-3=1-3=-2.`

Thus, the required solution of the given system is (x, y) = (1, -2).

Option (D) is CORRECT.