document.write( "Question 925338: Addison worked 11 more hours this week than last week. In total, she worked 69 hours this week and last week. Using the equation 2h + 11 = 69, how many hours (h) did Addison work last week? \n" ); document.write( "
Algebra.Com's Answer #561459 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! x = hours worked last week \n" ); document.write( "y = hours worked this week \n" ); document.write( "--- \n" ); document.write( "x + y = 69 \n" ); document.write( "y = x + 11 \n" ); document.write( "--- \n" ); document.write( "put the system of linear equations into standard form \n" ); document.write( "--- \n" ); document.write( "x + y = 69 \n" ); document.write( "x - y = -11 \n" ); document.write( "--- \n" ); document.write( "copy and paste the above standard form linear equations in to this solver: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "--- \n" ); document.write( "solution: \n" ); document.write( "x = hours worked last week = 29 \n" ); document.write( "y = hours worked this week = 40 \n" ); document.write( "--- \n" ); document.write( "how did the problem statement arrive at the equation: 2h + 11 = 69 ??? \n" ); document.write( "--- \n" ); document.write( "h = hours worked last week \n" ); document.write( "y = hours worked this week \n" ); document.write( "--- \n" ); document.write( "h + y = 69 \n" ); document.write( "y = h + 11 \n" ); document.write( "--- \n" ); document.write( "substituting y in the first equation with h + 11: \n" ); document.write( "h + h + 11 = 69 \n" ); document.write( "2h + 11 = 69 \n" ); document.write( "--- \n" ); document.write( "solving for h: \n" ); document.write( "--- \n" ); document.write( "2h = 58 \n" ); document.write( "h = 58/2 \n" ); document.write( "h = 29 \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( " |