Question

82. 1) 321 + (x + 13) = 450; 3) 204 - (x +29) = 100; 2) 122 + (y-7) = 200; 4) 53-(y - 13) = 24.​

Answer 1

Пошаговое объяснение:

321 + (х + 13) = 450

х + 13 = 450 - 321

х + 13 = 129

х = 129 - 13

х = 116

204 - (х + 29) = 100

х + 29 = 204 - 100

х + 29 = 104

х = 104 - 29

х = 75

122 + (у - 7) = 200

у - 7 = 200 - 122

у - 7 = 78

у = 78 + 7

у = 85

53 - (у - 13) = 24

53 - у - 13 = 24

40 - у = 24

у = 40 - 24

у = 16

Answer 2

To solve these equations for x and y, let's work through them one by one:

1. $321 + (x + 13) = 450$:

First, remove the parentheses by adding x and 13 to 321:

$321 + x + 13 = 450$

Now, combine like terms:

$334 + x = 450$

Next, isolate x by subtracting 334 from both sides of the equation:

$x = 450 - 334$

$x = 116$

So, the solution for x is $x = 116$.

2. $122 + (y - 7) = 200$:

First, remove the parentheses by adding y and 7 to 122:

$122 + y - 7 = 200$

Now, combine like terms:

$115 + y = 200$

Next, isolate y by subtracting 115 from both sides of the equation:

$y = 200 - 115$

$y = 85$

So, the solution for y is $y = 85$.

3. $204 - (x + 29) = 100$:

First, remove the parentheses by subtracting x and 29 from 204:

$204 - x - 29 = 100$

Now, combine like terms:

$175 - x = 100$

Next, isolate x by subtracting 175 from both sides of the equation:

$-x = 100 - 175$

$-x = -75$

To solve for x, multiply both sides by -1:

$x = 75$

So, the solution for x is $x = 75$.

4. $53 - (y - 13) = 24$:

First, remove the parentheses by adding y and 13 to 53:

$53 + y + 13 = 24$

Now, combine like terms:

$66 + y = 24$

Next, isolate y by subtracting 66 from both sides of the equation:

$y = 24 - 66$

$y = -42$

So, the solution for y is $y = -42$.

To summarize:

• For equation 1, $x = 116$.
• For equation 2, $y = 85$.
• For equation 3, $x = 75$.
• For equation 4, $y = -42$.