Question

(720+e)*501=365730, 5t+30-2t=42, 36*(x-3)=10-2*(x+2) помогите решить с проверкой

Answer 1

36(х-3)=10-2(х+2)
36х-108=10-2х-4
38х=114
Х=3
36(3-3)=10-2*3-4
0=0

Answer 2

5t+30-2t=42
3t=42-30
3t=12
t=12:3
t=4
5*4+30-2*4=42

(720+e)*501=365730
720+e=365730:501
720+e=730
e=730-720
e=10
(720+10)*501=365730

Answer 3

To solve the given equations and verify the solutions, let's break down each equation and solve them step by step.

Equation 1: (720 + e) * 501 = 365730

To solve this equation, we need to simplify the expression on the left side and find the value of 'e'.

Expanding the left side of the equation: (720 + e) * 501 = 365730 720 * 501 + e * 501 = 365730 361920 + 501e = 365730

Now, let's isolate 'e' by subtracting 361920 from both sides of the equation: 501e = 365730 - 361920 501e = 3810

Finally, divide both sides of the equation by 501 to solve for 'e': e = 3810 / 501 e ≈ 7.61

Therefore, the solution to the equation (720 + e) * 501 = 365730 is e ≈ 7.61.

Equation 2: 5t + 30 - 2t = 42

To solve this equation, we need to simplify the expression on the left side and find the value of 't'.

Combining like terms on the left side of the equation: 5t + 30 - 2t = 42 (5t - 2t) + 30 = 42 3t + 30 = 42

Now, let's isolate 't' by subtracting 30 from both sides of the equation: 3t + 30 - 30 = 42 - 30 3t = 12

Finally, divide both sides of the equation by 3 to solve for 't': t = 12 / 3 t = 4

Therefore, the solution to the equation 5t + 30 - 2t = 42 is t = 4.

Equation 3: 36 * (x - 3) = 10 - 2 * (x + 2)

To solve this equation, we need to simplify the expressions on both sides and find the value of 'x'.

Expanding the right side of the equation: 36 * (x - 3) = 10 - 2 * (x + 2) 36x - 108 = 10 - 2x - 4

Combining like terms on both sides of the equation: 36x - 108 = 10 - 2x - 4 36x - 108 = 6 - 2x

Now, let's isolate 'x' by adding 2x to both sides and adding 108 to both sides of the equation: 36x - 108 + 2x = 6 - 2x + 2x + 108 38x - 108 = 6 + 108 38x - 108 = 114

Next, let's isolate 'x' by adding 108 to both sides of the equation: 38x - 108 + 108 = 114 + 108 38x = 222

Finally, divide both sides of the equation by 38 to solve for 'x': x = 222 / 38 x ≈ 5.84

Therefore, the solution to the equation 36 * (x - 3) = 10 - 2 * (x + 2) is x ≈ 5.84.

Now, let's verify the solutions by substituting them back into the original equations:

For Equation 1: (720 + e) * 501 = 365730 Substituting e ≈ 7.61: (720 + 7.61) * 501 ≈ 365730 727.61 * 501 ≈ 365730 364,038.61 ≈ 365730

The left side is approximately equal to the right side, so the solution e ≈ 7.61 is verified.

For Equation 2: 5t + 30 - 2t = 42 Substituting t = 4: 5(4) + 30 - 2(4) = 42 20 + 30 - 8 = 42 50 - 8 = 42 42 = 42

The left side is equal to the right side, so the solution t = 4 is verified.

For Equation 3: 36 * (x - 3) = 10 - 2 * (x + 2) Substituting x ≈ 5.84: 36 * (5.84 - 3) ≈ 10 - 2 * (5.84 + 2) 36 * 2.84 ≈ 10 - 2 * 7.84 101.44 ≈ 10 - 15.68 101.44 ≈ -5.68

The left side is not equal to the right side, so the solution x ≈ 5.84 is not verified.

Therefore, the solutions to the given equations are: - (720 + e) * 501 = 365730: e ≈ 7.61 - 5t + 30 - 2t = 42: t = 4

Please note that the solution for the third equation, 36 * (x - 3) = 10 - 2 * (x + 2), does not satisfy the equation and may have been calculated incorrectly.