Question

5,43(х-0,7х-1,36)=5,8101 0,6(у+1,2)-0,4у=2,8 Решите уравнения

Answer 1

5,43(х-0,7х-1,36)=5,8101
5,43х-3,801х-7,3848=5,8101
1,629х=5,8101+7,3848
1,629х=13,1949
х=13,1949:1,629
х=8,1

0,6(у+1,2)-0,4у=2,8
0,6у+0,72-0,4у=2,8
0,2у=2,8-0,72
0,2у=2,08
у=2,08:0,2
у=10,4

Answer 2

Let's solve each equation separately:

1. 5,43(х-0,7х-1,36)=5,8101

First, we simplify the expression inside the parentheses:

х - 0.7х - 1.36 = 0.3х - 1.36

Substituting this back into the equation, we get:

5.43(0.3х - 1.36) = 5.8101

Multiplying out the left-hand side, we get:

1.629х - 7.3752 = 5.8101

Adding 7.3752 to both sides, we get:

1.629х = 13.1853

Dividing both sides by 1.629, we get:

х ≈ 8.078

So the solution to the equation is x ≈ 8.078.

2. 0,6(у+1,2)-0,4у=2,8

Multiplying out the left-hand side, we get:

0.6у + 0.72 - 0.4у = 2.8

Combining like terms, we get:

0.2у + 0.72 = 2.8

Subtracting 0.72 from both sides, we get:

0.2у = 2.08

Dividing both sides by 0.2, we get:

у = 10.4

So the solution to the equation is у = 10.4.

Therefore, the solutions to the given equations are x ≈ 8.078 and у = 10.4.