Solve each system of equations. State whether it is an inconsiste...

Question

Solve each system of equations. State whether it is an inconsistent system or has infinitely many solutions. If a system has infinitely many solutions, write the solution set with x arbitrary. See Examples 3 and 4.
5x - 5y - 3 = 0 
x - y - 12 = 0

Accepted Answer

Solve the following system of equations with two variables and determine if it is inconsistent or has infinitely many solutions. Rifle solution set in terms of X if it has infinitely many solutions. But we have seven X minus seven, Y minus 15 equals zero and X minus Y plus 13 equals zero. Now, to solve this, we need to try and eliminate one of our variables. Seven X minus seven Y minus 15 equals zero. Now let's eliminate one of our variables. We can try and get them to have the same coefficient. But in the opposite side, in other words, we have seven X for our first coefficient. In this equation, our other equation has X, let's multiply everything by negative seven to try and get rid of the X. We would get negative seven X plus seven Y minus 91 equals zero. Now, we can add these two equations together seven X minus seven X gives us zero, X negative seven Y plus seven, Y gives us zero Y and we have negative minus 91 which is negative one oh six. Those should all equal zero. We simplify it to negative one oh six. Equals zero. Now, because we have neither one of six equals zero, which is not true. We have no solution, which means this is an inconsistent system. Our answer is then answer C OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

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Solve each system of equations. State whether it is an inconsistent system or has infinitely many solutions. If a system has infinitely many solutions, write the solution set with x arbitrary. See Examples 3 and 4. 5x - 5y - 3 = 0 x - y - 12 = 0