Solving equations and inequalities：練習問題

Solve the equation: \(5x - 4 = 2x + 11\)

Solve the following simultaneous equations to find the values of \(x\) and \(y\):
\(3x - 2y = 13\)
\(x + 2y = 7\)

Solve the following simultaneous equations to find the solutions for \( (x, y) \):
\( 2x - y = 1 \)
\( x^2 + xy = 2 \)

Solve the following linear equation for \(x\):
\( 4(x + 3) = 18 - 2x \)

Identify the number line that correctly represents the solution to the inequality: \(4x + 7 \leq 23\)

Solve the equation \( \frac{2x + 5}{3} = 7 \).

Solve the following simultaneous equations:
\( 3x + 2y = 12 \)
\( x - y = 9 \)

Solve the quadratic inequality:
\( x^2 - 4x - 12 < 0 \)

Solve the following equation for \(x\):
\( 3(2x - 5) = 2(x + 1) + 7 \)
Show all steps of your rearrangement and working.

Solve the following linear equation for \(x\):
\( \frac{2(x + 5)}{3} - \frac{x - 2}{4} = 3 \)