To have no solution, the two sides of the equation should be equal but they also should not be equal. In other words, they should contradict each other. To achieve this, we can add x to both sides of the equation:
−7x − 12 + x = x + 12 + x
This simplifies to:
-6x - 12 = 2x + 12
To further contradict the equation, we can add 6x to both sides:
-6x - 12 + 6x = 2x + 12 + 6x
This simplifies to:
-12 = 8x + 12
To contradict even more, we can subtract 12 from both sides:
-12 - 12 = 8x + 12 - 12
This simplifies to:
-24 = 8x
Finally, to find the value of x, we can divide both sides of the equation by 8:
-24 / 8 = 8x / 8
This simplifies to:
-3 = x
So, the equation -7x - 12 = x + 12 has no solution.
Question
Complete the equation so that it has no solution.(1 point)
−7x−12= x+12
1 answer
1 answer