Question

Which graph best represents the solution to the system of equations shown below?

y = -4x + 19
y = 2x + 1

Answer 1

1.
y = -4x + 19
y = 19 = -4x
x = - y -19/4

Answer 2

Option 2

Explanation:

The system of equations consists of equations

y = -4x + 19 --------(1)

y = 2x + 1 ---------(2)

Now equating both the equations for the values of y

-4x + 19 = 2x + 1

-2x - 4x + 19 = 1

-6x = 1 - 19

-6x = -18

x =
`(18)/(6)`

x = 3

from equation (1) y = -4(3) + 19

= -12 + 19

= 7

Therefore, solution of the system of the equations is (3, 7)

This solution of the system of equation has been given in graph (2)

Therefore, Option (2) is the answer.