Question

Rajib wrote the equations y = 8 x - 2 and y = -4 x - 5. What can Rajib conclude about the solution to this system of equations?

A.The point (2, 14) is a solution to this system of equations.
B.The point (14, 2) is a solution to this system of equations.
C.The point (-4, -1/4) is a solution to this system of equations.
D.The point (-1/4, -4) is a solution to this system of equations.

Answer 1

The answer is D

Explanation:

took the test

Answer 2

Answer: D.The point (-1/4, -4) is a solution to this system of equations.

Explanation:

Given :

y = 8x - 2 ................ equation 1

y = -4x - 5 .................. equation 2

Equating the equations , we have

8x - 2 = -4x - 5

8x + 4x = -5 + 2

12x = -3

dividing through by 12

x = -1/4

substitute x = -1/4 into equation 1 , equation 1 becomes

y = 8(-1/4) - 2

y = -2 -2

y = -4

Therefore ; the solution to the system of equation is ( -1/4 , -4)