Question

Solve the system of equations and choose the correct ordered pair.

7x + 8y = 4
3x + 2y = 6

A. (4, –3)
B. (4, –2)
C. (2, 3)
D. (2, 4)

Answer 1

I used the elimination process to get the answer. It would A (4,-3)

Answer 2

Answer: The correct option is (A) (4, -3).

Step-by-step explanation: We are given to solve the following system of linear equations and choose the correct ordered pair :

`7x+8y=4~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\3x+2y=6~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)`

Multiplying equation (ii) by 4, we have

`4(3x+2y)=4* 6\\\\\Rightarrow 12x+8y=24~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)`

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

`(12x+8y)-(7x+8y)=24-4\\\\\Rightarrow 12x-7x=20\\\\\Rightarrow x=(20)/(5)\\\\\Rightarrow x=4.`

From equation (ii), we get

`3*4+2y=6\\\\\Rightarrow 12+2y=6\\\\\Rightarrow 2y=6-12\\\\\Rightarrow 2y=-6\\\\\Rightarrow y=-(6)/(2)\\\\\Rightarrow y=-3.`

Thus, the required solution is x = 4, y = -3 and the correct ordered pair is (4, -3).

Option (A) is CORRECT.