Equations：練習問題

Solve the equation $$\frac{x}{4} + 7 = 12$$.

Solve the fractional equation for \(x\):
\( \frac{2x + 5}{3} = x - 1 \)

Solve the equation \( \frac{2x}{x - 3} - \frac{1}{x + 2} = 3 \).
Give your answers correct to 2 decimal places.

Make \( t \) the subject of the formula:
\( v = u + at \)

Solve the following simultaneous linear equations to find the value of \(x\):
\(3x + 2y = 12\)
\(x - y = 4\)

Change the subject of the formula \(P = 2l + 2w\) to \(w\).

Solve the equation \(7m - 1 = 3m + 15\).

Solve the quadratic equation \(3x^2 - 4x - 5 = 0\).
Give your answers correct to 2 decimal places.

(a) Solve the equation:
\( 8(x - 3) = 2x + 6 \)

(b) Solve the following simultaneous equations:
\( 5x + 2y = 19 \)
\( 3x - 2y = 5 \)

Solve the simultaneous equations:
\(y = 2x - 5\)
\(x^2 + y^2 = 25\)