2x+=2x+7 3x+18=5x+83

Question 4: One Solution
Consider the two equations that you underlined, which form a system with one
solution. Solve the equations.

1 answer

The first equation, 2x + 7 = 2x can be simplified by subtracting 2x from both sides:

2x + 7 - 2x = 2x - 2x

This simplifies to 7 = 0, which is false. Therefore, there is no solution for the first equation.

The second equation, 3x + 18 = 5x + 83, can be solved by isolating the variable on one side:

3x - 5x = 83 - 18

-2x = 65

Dividing by -2 gives:

x = -32.5

Therefore, the system of equations does not have one solution, as the first equation is unsolvable and the second equation has one solution, x = -32.5.
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