Question

24х-12(7+х)=16-8х; 29+14(9-y)=19-2y; -15(4y-3)+37y=42y-111

Answer 1

1) 24x-84-12x-16+8x
20x= -100
x= -5

2) 29+126-14y-19-2y
-16y= 136
-y= 8,5
y= -8,5

Answer 2

Let's solve each equation step by step:

1. 24x - 12(7 + x) = 16 - 8x

First, distribute the -12 on the left side:

24x - 12 * 7 - 12x = 16 - 8x

Now, combine like terms on the left side:

24x - 84 - 12x = 16 - 8x

Combine the x terms on the left side:

24x - 12x - 8x = 16 + 84

Simplify further:

4x = 100

Now, isolate x by dividing both sides by 4:

x = 100 / 4

x = 25

So the solution for the first equation is x = 25.

2. 29 + 14(9 - y) = 19 - 2y

First, distribute the 14 on the left side:

29 + 14 * 9 - 14y = 19 - 2y

Perform the multiplication:

29 + 126 - 14y = 19 - 2y

Now, combine like terms on the left side:

155 - 14y = 19 - 2y

To isolate y, we'll move all y terms to the left side and the constant terms to the right side:

-14y + 2y = 19 - 155

Simplify further:

-12y = -136

Now, divide both sides by -12:

y = -136 / -12

y = 11.33 (rounded to two decimal places)

So the solution for the second equation is y = 11.33 (approximately).

3. -15(4y - 3) + 37y = 42y - 111

First, distribute the -15 on the left side:

-60y + 45 + 37y = 42y - 111

Now, combine the y terms on the left side:

-60y + 37y + 45 = 42y - 111

Combine the constant terms on the left side:

-23y + 45 = 42y - 111

Now, move the y terms to the right side and the constant terms to the left side:

-23y - 42y = -111 - 45

Simplify further:

-65y = -156

Divide both sides by -65:

y = -156 / -65

y = 2.4 (rounded to one decimal place)

So the solution for the third equation is y = 2.4 (approximately).