Solve the following equations: x - 2y - 2 = 0 1 - 2y - 2 = 0

Mathematics
Solve the following equations: x - 2y - 2 = 0 1 - 2y - 2 = 0

ScanSolve AI Answer

Answer

-0.5

The image shows a partial calculation where x=1x=1 is substituted into an expression related to the equation x2y=2x - 2y = 2.

Step 1: Identify the equation and substitution. The expression shown is x2y2x - 2y - 2. If this expression is set to zero, it represents the equation x2y=2x - 2y = 2. The student has substituted x=1x = 1 into this expression, resulting in 12y21 - 2y - 2.

Step 2: Solve for yy. We set the expression equal to zero to find the corresponding yy value for the line x2y=2x - 2y = 2: 12y2=01 - 2y - 2 = 0 Combine the constant terms: 12y=0-1 - 2y = 0 Add 1 to both sides: 2y=1-2y = 1 Divide by 2-2: y=12y = \frac{1}{-2} y=0.5y = -0.5

The value y=0.5y = 0.5 shown at the top of the image is incorrect for this calculation. The correct value is y=0.5y = -0.5.

The final answer is 0.5\boxed{-0.5}.

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