Question

1) (х-18)-73=39 и 24+(у-52)=81 2) (65-х)+14=51 и (у+16)+37= 284 20балов

Answer 1

Х-18=39+73
Х-18=112
Х=112+18
Х=130

У-52=81-24
У-52=57
У=57+52
У=109

65-Х=51-14
65-х=37
×=65-37
×=28

У+16=284-37
У+16=247
У=247-16
У=231

Answer 2

To solve these equations:

1. (х-18)-73=39

First, simplify the left side of the equation by combining like terms: х - 18 - 73 = 39 х - 91 = 39

Next, add 91 to both sides of the equation: х - 91 + 91 = 39 + 91 х = 130

So the solution to the first equation is х = 130.

For the second part of the problem:

24 + (у-52) = 81

First, simplify the left side of the equation by combining like terms: у - 52 + 24 = 81 у - 28 = 81

Next, add 28 to both sides of the equation: у - 28 + 28 = 81 + 28 у = 109

So the solution to the second equation is у = 109.

2. (65-х)+14=51

First, simplify the left side of the equation by combining like terms: 65 - х + 14 = 51 79 - х = 51

Next, subtract 79 from both sides of the equation: 79 - х - 79 = 51 - 79 -х = -28

Finally, multiply both sides of the equation by -1 to isolate х: -1(-х) = -1(-28) х = 28

So the solution to the first equation is х = 28.

For the second part of the problem:

(у+16)+37= 284

First, simplify the left side of the equation by combining like terms: у + 16 + 37 = 284 у + 53 = 284

Next, subtract 53 from both sides of the equation: у + 53 - 53 = 284 - 53 у = 231

So the solution to the second equation is у = 231.

Therefore, the solutions to both equations are х = 28 and у = 231, and the student earns 20 points.