Question

Use the elimination method to solve the system of equations. 4x + 3y = 11 x – y = 8

A. (5, –3)

B. (5, –13)

C. (10, 2)

D. (–3, 5)

Answer 1

The correct choice among all the options is A. (5, -3)

It is really simple to solve there are many videos that teach the elimination method.

Answer 2

Answer: The correct option is (A) (5, -3).

Step-by-step explanation: We are given to use the elimination method to solve the following system of equations :

`4x+3y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x-y=8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)`

Multiplying equation (ii) by 4, we have

`4(x-y)=4* 8\\\\\Rightarrow 4x-4y=32~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)`

Subtracting equation (iii) from equation (i), we get

`(4x+3y)-(4x-4y)=11-32\\\\\Rightarrow 7y=-21\\\\\Rightarrow y=-(21)/(7)\\\\\Rightarrow y=-3.`

From equation (ii), we get

`x-y=8\\\\\Rightarrow x=y+8=-3+8=5.`

Thus, the required solution of the given system is (x, y) = (5, -3).

Option (A) is CORRECT.