Question

Решите проверку и выполните проверку: a)(x-83)-27=35 б)97-(51+y)=11.

Answer 1

Х-83-27=35
х=35+27+83
х=145
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(145-83)-27=62-27=35

97-51-у=11
-у=11+51-97
-у=-35
у=35
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97-(51+35)=97-86=11

Answer 2

To solve the equations and perform the check, we will follow these steps:

Step 1: Solve each equation for the variable. Step 2: Substitute the solution back into the original equation to verify if the equation holds true.

a) (x - 83) - 27 = 35

Step 1: Solve for x. First, let's combine like terms on the left side:

(x - 83) - 27 = 35 x - 83 - 27 = 35 x - 110 = 35

Now, isolate x by adding 110 to both sides:

x - 110 + 110 = 35 + 110 x = 145

Step 2: Verify the solution. Substitute x = 145 back into the original equation:

(x - 83) - 27 = 35 (145 - 83) - 27 = 35 62 - 27 = 35 35 = 35

The equation holds true when x = 145.

b) 97 - (51 + y) = 11

Step 1: Solve for y. First, simplify the expression within the parentheses:

97 - (51 + y) = 11 97 - 51 - y = 11 46 - y = 11

Now, isolate y by subtracting 46 from both sides:

46 - y - 46 = 11 - 46 -y = -35

Finally, multiply both sides by -1 to solve for y:

y = 35

Step 2: Verify the solution. Substitute y = 35 back into the original equation:

97 - (51 + y) = 11 97 - (51 + 35) = 11 97 - 86 = 11 11 = 11

The equation holds true when y = 35.

Both solutions are verified, and the values for x and y satisfy their respective equations.