Question

3,6+5y=7(1,2-y) 0,4(6-4t)=1,9-0,5(3t-7)

Answer 1

3,6+5у=7(1,2-у)
3,6+5у=8,4-7у
5у+7у=8,4-3,6
12у=4,8
У= 4,8 : 12
у=0,4

• 0,4(6-4t)=1,9-0,5(3t-7)
2,4 - 1,6t = 1,8 -1,5t+3,5
-1,6t+1,5t=1,8+3,5-2,4
0,1t= 2,9
t=2,9 : 0,1
t= 29

Answer 2

1) 3,6+5у=7(1,2-у)
3,6+5у=8,4-7у
5у+7у=8,4-3,6
12у=4,8
у=4,8:12
у=0,4
2) 0,4(6-4t)=1,9-0,5(3t-7)
2,4-1,6t=1,9-1,5t+3,5
-1,6t+1,5t=3,5-2,4
-0,1t=1,1
t=1,1:(-0,1)
t=-11

Answer 3

To solve the system of equations, we'll first work on each equation separately and find the values of 'y' and 't' that satisfy them. Let's start with the first equation:

1. 3 + 6y = 7(1 + 2 - y)

Step 1: Simplify the right-hand side (RHS) of the equation: 7(1 + 2 - y) = 7(3 - y) = 21 - 7y

Step 2: Rewrite the equation with the simplified RHS: 3 + 6y = 21 - 7y

Step 3: Bring the 'y' terms to one side of the equation and the constants to the other side: 6y + 7y = 21 - 3 13y = 18

Step 4: Solve for 'y': y = 18 / 13

Next, let's move on to the second equation:

2. 0.4(6 - 4t) = 1.9 - 0.5(3t - 7)

Step 1: Simplify both sides of the equation: 0.4 * (6 - 4t) = 1.9 - 0.5 * (3t - 7)

Step 2: Distribute on both sides to eliminate parentheses: 2.4 - 1.6t = 1.9 - 1.5t + 3.5

Step 3: Combine like terms on the right-hand side: 2.4 - 1.6t = 5.4 - 1.5t

Step 4: Bring the 't' terms to one side of the equation and the constants to the other side: -1.6t + 1.5t = 5.4 - 2.4 -0.1t = 3

Step 5: Solve for 't': t = 3 / (-0.1) t = -30

Now we have the values for 'y' and 't': y ≈ 1.3846 (rounded to four decimal places) t = -30