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.