Question

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

Answer 1

Answer:

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

$4(x-y)=4\times 8\\\\\Rightarrow 4x-4y=32~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

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

$(4x+3y)-(4x-4y)=11-32\\\\\Rightarrow 7y=-21\\\\\Rightarrow y=-\dfrac{21}{7}\\\\\Rightarrow y=-3.$

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.