Question

1) 8 (х – 14) = 562) (46 - x) × 19 = 418​

Answer 1

8 (х – 14) = 56

х - 14 = 56 : 8

х - 14 = 7

х = 7 + 14

х = 21  

(46 - x) × 19 = 418​

46 - х = 418 : 19

46 - х = 22

х = 46 - 22

х = 24

Answer 2

Let's solve each equation step by step:

1. 8(x - 14) = 56

To solve this equation, we'll apply the distributive property to remove the parentheses:

8x - 8(14) = 56

Next, we simplify the equation:

8x - 112 = 56

To isolate the variable, we'll add 112 to both sides of the equation:

8x - 112 + 112 = 56 + 112

This simplifies to:

8x = 168

Finally, we divide both sides of the equation by 8 to solve for x:

(8x)/8 = 168/8

x = 21

So the solution to the equation is x = 21.

2. (46 - x) × 19 = 418

To solve this equation, we'll first apply the distributive property:

19(46 - x) = 418

Next, we simplify the equation:

874 - 19x = 418

To isolate the variable, we'll subtract 874 from both sides of the equation:

874 - 874 - 19x = 418 - 874

This simplifies to:

-19x = -456

Finally, we divide both sides of the equation by -19 to solve for x:

(-19x)/(-19) = -456/(-19)

x = 24

So the solution to the equation is x = 24.