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QuestionSolve the equations: 35=−2x−1535 = -2x - 15 and 502=25\frac{50}{2} = 25.

Studdy Solution

STEP 1

Assumptions1. The given equations are 35=−x−1535=-x-15 and +15+18=50+15+18=\frac{50}{} . We are solving for the variable xx
3. The operations of addition, subtraction, multiplication, and division are allowed

STEP 2

First, let's simplify the first equation. We can do this by adding15 to both sides of the equation to isolate −2x-2x on one side.
35+15=−2x−15+1535 +15 = -2x -15 +15

STEP 3

Now, simplify the left and right sides of the equation.
50=−2x50 = -2x

STEP 4

Next, we need to isolate xx. We can do this by dividing both sides of the equation by −2-2.
50−2=−2x−2\frac{50}{-2} = \frac{-2x}{-2}

STEP 5

Now, simplify the left and right sides of the equation.
−25=x-25 = x

STEP 6

Now, let's move on to the second equation. The equation is +15+18=502+15+18=\frac{50}{2}.

STEP 7

First, simplify the left side of the equation.
15+18=3315 +18 =33

STEP 8

Now, simplify the right side of the equation.
502=25\frac{50}{2} =25

STEP 9

So, the simplified equation is 33=2533=25. But this is not true as33 is not equal to25. Therefore, there seems to be a mistake in the problem.
The solution for xx from the first equation is −25-25, but the second equation does not hold true. Therefore, the problem as stated does not have a consistent solution.

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