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2 votes
Solve for x.

3 + 4(x-2) = 12

-2x + 6y = 13

5x + 2y = 3(4y-2)

2x - 4(x+2y) = 20

8x-5y=20

User Icaruk
by
8.1k points

1 Answer

5 votes

Answer: Let's solve each equation step by step:

1. 3 + 4(x-2) = 12

Expanding the brackets:

3 + 4x - 8 = 12

Combine like terms:

4x - 5 = 12

Add 5 to both sides:

4x = 17

Divide both sides by 4:

x = 17/4

Therefore, the solution for the first equation is x = 17/4.

2. -2x + 6y = 13

To solve for x, we need more information or another equation involving x.

3. 5x + 2y = 3(4y-2)

Expanding the right side:

5x + 2y = 12y - 6

Moving all terms to one side:

5x - 12y = -6 - 2y

The second equation is not directly solvable for x since it involves both x and y.

4. 2x - 4(x+2y) = 20

Expanding the brackets:

2x - 4x - 8y = 20

Combining like terms:

-2x - 8y = 20

Divide the entire equation by -2:

x + 4y = -10

This equation provides a relationship between x and y but does not allow us to solve for a specific value of x or y.

5. 8x - 5y = 20

To solve for x or y, we need additional information or another equation involving x or y.

In summary:

- The first equation has a solution of x = 17/4.

- The second equation does not provide enough information to solve for x.

- The third equation is not directly solvable for x.

- The fourth equation does not provide a specific value for x.

- The fifth equation does not provide enough information to solve for x or y.

User Ganbayar Gansukh
by
8.7k points

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