Question

1)0,0284+(0,0016+x)=15 2)(x+3,5)-4,8=2,4 3)(x+42,003)+0,54=100-0,457 4)(y-8,48)+2,16=3,9 5)(1,25+a)-15,6=9,07

Answer 1

1)0,0284+(0016+х)=15
0,03+х-15=0
х-14,97=0
х=14,97
2)(x+3,5)-4,8=2,4
х+3,5-4,8-2,4=0
х-3,7=0
х=3,7
3)(x+42,003)+0,54=100-0,457
х+42,003+0,54-100+0,457=0
х-57=0
х=57
4)(y-8,48)+2,16=3,9
у-8,48+2,16-3,9=0
у-10,22=0
у=10,22
5)(1,25+a)-15,6=9,07
1,25+а-15,6-9,07=0
а-23,42=0
а=23,42

Answer 2

To solve the system of equations you provided, we'll solve each equation individually and find the values of the variables.

Equation 1:

0.0284 + (0.0016 + x) = 15

To solve this equation, we'll start by simplifying the expression on the left side:

0.0284 + 0.0016 + x = 15

Next, we'll combine the constants on the left side:

0.0300 + x = 15

To isolate the variable x, we'll subtract 0.0300 from both sides:

x = 15 - 0.0300

x = 14.9700

So, the solution to equation 1 is x = 14.9700.

Equation 2:

(x + 3.5) - 4.8 = 2.4

To solve this equation, we'll start by simplifying the expression on the left side:

x + 3.5 - 4.8 = 2.4

Next, we'll combine the constants on the left side:

x - 1.3 = 2.4

To isolate the variable x, we'll add 1.3 to both sides:

x = 2.4 + 1.3

x = 3.7

So, the solution to equation 2 is x = 3.7.

Equation 3:

(x + 42.003) + 0.54 = 100 - 0.457

To solve this equation, we'll start by simplifying the expression on the left side:

x + 42.003 + 0.54 = 100 - 0.457

Next, we'll combine the constants on both sides:

x + 42.543 = 99.543

To isolate the variable x, we'll subtract 42.543 from both sides:

x = 99.543 - 42.543

x = 57

So, the solution to equation 3 is x = 57.

Equation 4:

(y - 8.48) + 2.16 = 3.9

To solve this equation, we'll start by simplifying the expression on the left side:

y - 8.48 + 2.16 = 3.9

Next, we'll combine the constants on the left side:

y - 6.32 = 3.9

To isolate the variable y, we'll add 6.32 to both sides:

y = 3.9 + 6.32

y = 10.22

So, the solution to equation 4 is y = 10.22.

Equation 5:

(1.25 + a) - 15.6 = 9.07

To solve this equation, we'll start by simplifying the expression on the left side:

1.25 + a - 15.6 = 9.07

Next, we'll combine the constants on the left side:

a - 14.35 = 9.07

To isolate the variable a, we'll add 14.35 to both sides:

a = 9.07 + 14.35

a = 23.42

So, the solution to equation 5 is a = 23.42.

To summarize, the solutions to the system of equations are: x = 14.9700 y = 10.22 a = 23.42