Explanation: 1- using graphing: To solve the system of equations graphically means to find the intersect point(s) between the two lines. The solution would be this intersection. Taking a look at the two graphed lines, we would find that they do not intersect. This means that there is no solution for these two lines
2- using algebra: We will get the slopes of the two lines using the formula: slope = (y2-y1) / (x2-x1) slope of upper line = (3-4) / (-3-0) = 1/3 slope of lower line = (0--1) / (3-0) = 1/3 The slopes of the two lines are equal. This means that these two lines are parallel which means that they do not intersect which means that the system has no solution
The total amount Serena earns is the sum of her regular wage and the tips. The amount she earns from the wage is equal to 9h. This total should be more than or equal to $110. This is mathematically expressed as, 9h + 15 ≥ 110
<span>Faster maid DATA: time = x hr/job ; rate = 1/x job/jhr Slower maid DATA: time = 3x hr/job ; rate = 1/3x job/hr Together DATA: time = 3 hr/job ; rate = 1/3 job/hr Equation: rate + rate = together rate 1/x + 1/3x = 1/3 Multiply thru by 3x to get: 3 + 1 = x x = 4 hrs (time for the faster maid to do the job)</span>
