High School

Solve the system:

1. \( I_1 + 32 = x_1 + 4x_2 - 4x_3 \)
2. \( 3.0 - 3.2 + 18.3x_3 + 21x_4 + 4.2x_3 + 8x_2 = 12 \)
3. \( -3x_2 + 24 - 30x_1 + 14x_7 + 45x_5 - 12x_2 + 21x_6 + 22 = 23 \)
4. \( x_2 = 2 \)
5. \( x_3 = 0 \)

Answer :

Final answer:

The given system of equations has no solution.

Explanation:

To solve the given system of equations, we will use the elimination method. Let's write down the equations:

Ii + 32 + 424 - 4x3 = 3.0

-3.2 + 18.33 + 2124 + 4.23 + 824 + 12 - 324 + 24 - 30 + 147 + 45 - 12 + 21 + 22 = 23 = 2 = 00

First, let's simplify the second equation:

-3.2 + 18.33 + 2124 + 4.23 + 824 + 12 - 324 + 24 - 30 + 147 + 45 - 12 + 21 + 22 = 23 + 2 + 0

Combine like terms:

2626.24 = 25

Now, let's subtract the first equation from the second equation:

2626.24 - (Ii + 32 + 424 - 4x3) = 25 - 3.0

2626.24 - Ii - 32 - 424 + 4x3 = 22

Combine like terms:

2166.24 - Ii - 4x3 = 22

Next, let's simplify the equation:

-Ii - 4x3 = 22 - 2166.24

-Ii - 4x3 = -2144.24

Now, let's solve for Ii:

-Ii = -2144.24 + 4x3

-Ii = -2144.24 + 12

-Ii = -2132.24

Finally, let's solve for x3:

3.0 - (Ii + 32 + 424) = 0

3.0 - (-2132.24 + 32 + 424) = 0

3.0 + 2132.24 - 32 - 424 = 0

Combine like terms:

2679.24 - 32 - 424 = 0

2223.24 - 32 = 0

2191.24 = 0

This is not possible, so there is no solution to the system of equations.

Learn more about solving a system of equations here:

https://brainly.com/question/29050831

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