Algebra involves manipulating variables and constants using arithmetic operations to solve equations or find unknowns. In the provided solution, we practiced simplifying equations and combining like terms. Key algebraic steps include:
- Isolating variables: Simplifying the second equation to 3x + y = 23 allowed us to isolate y
- Substitution: Substituting y back into the first equation helped eliminate terms and solve for x
- Simplification: Breaking down equations like 2x + 69 - 9x = 20 to -7x = -49 simplifies the solution process
Overall, algebraic manipulation was crucial to step-by-step solving of the exercise. Such competence is fundamental for higher math and everyday problem-solving.