2x+=2x+7 3x+18=5x+83 Question 4: One Solution
few points into the original equations and check to show that the system of equations has one solution. Explain your work
For the first equation, we have 2x + 7 = 2x + 7, which is true for any value of x. Therefore, this equation is an identity and has infinitely many solutions.
For the second equation, we can simplify it by subtracting 3x from both sides to get:
18 = 2x + 83
Then, we can subtract 83 from both sides to get:
-65 = 2x
Finally, we can divide both sides by 2 to get:
x = -32.5
So, we have found a unique solution for x that satisfies the second equation.
Therefore, the system of equations has only one solution, which is x = -32.5.