Two systems of equations are shown below:System ASystem B2x + y = 5−10x + 19y = −1−4x + 6y = −2−4x + 6y = −2Which of the following statements is correct about the two systems of equations?
Accepted Solution
A:
Answer:B1= A1+3A2Step-by-step explanation:System A2x + y = 5 -------------A1−4x + 6y = −2 ----------A2System B−10x + 19y = −1 -----------B1−4x + 6y = −2 ------------B2The first equation of system B is obtained by adding the first equation of system A to 3 times the second equation of system A.You can write it as:B1= A1+3A2We can prove it as:2x + y = 53(−4x + 6y = −2) 2x+y = 5-12x+18y= -6__________-10x+19y= -1 equals to B1Hence it is proved that B1=A1+3A2 ....