Question

1) 229 - 43x = 62х - 44 = 2) 405 + 95х = -55 + 49х =3) 29 + 14 (9-y) =19 - 2у =4) -15 (4у -3) + 37у = 42у - 111 =

Answer 1

1)-43х -62х =-44-229
-105х= - 273
х= 273/105
2)95х-49х= -55-405
46х= -460
х= -10
3)14у+2у= 19-29-126
16у= -174
у= 11
4)-60у+45 +37у= 42у-111
-65у= -111-45
у= 2.4

Answer 2

1)229+44=62x+43x
273=105x
X=273:105
X=2,6
2)405+55=49x-95x
460=-46x
X=460:(-46)
X=-10
3)29+126-14y=19-2y
155-19=-2y+14y
136=12y
y=136:12
y=11,4/12
4)-60y+45+37y=42y-111
-23y+45=42y-111
-23y-42y=-111-45
-65y=156
y=156:(-65)
y=-2,4

Answer 3

Let's solve each of the equations step by step:

1. 229 - 43x = 62x - 44:

To solve this equation, we'll first collect like terms:

229 - 44 = 62x + 43x

185 = 105x

Now, divide both sides by 105 to isolate x:

x = 185/105

Simplifying the fraction:

x = 37/21

So the solution to this equation is x = 37/21.

2. 405 + 95x = -55 + 49x:

Let's collect like terms:

405 + 55 = 49x - 95x

460 = -46x

Divide both sides by -46:

x = 460/-46

Simplifying the fraction:

x = -10

So the solution to this equation is x = -10.

3. 29 + 14(9 - y) = 19 - 2y:

Expand the parentheses:

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

Simplify:

29 + 126 - 14y = 19 - 2y

Combine like terms:

155 - 14y = 19 - 2y

Add 2y to both sides:

155 - 12y = 19

Subtract 19 from both sides:

155 - 12y - 19 = 0

Combine like terms:

136 - 12y = 0

Now, isolate y by dividing both sides by -12:

-12y = -136

y = -136/-12

Simplifying the fraction:

y = 34/3

So the solution to this equation is y = 34/3.

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

Distribute -15 to the terms inside the parentheses:

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

Combine like terms:

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

Combine like terms again:

-23y + 45 = 42y - 111

Move all the terms with y to one side:

-23y - 42y = -111 - 45

-65y = -156

Divide both sides by -65:

y = -156/-65

Simplifying the fraction:

y = 12/5

So the solution to this equation is y = 12/5.