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Question
- sally and ray work together on an assignment. they have broken down the work into 4 parts of the same size. sally works at 2 times the speed of ray but has 5 pieces of work to do for another subject. this problem can be represented by the following system of equations: equation 2: $y = 2x - 5$ 6a sketch the two lines representing these equations on the graph below: graph 6b write down the solution to the system of equations as an ordered pair $(x, y)$. $(x, y) = $ enter your next step here
Step1: Recall Intersection of Lines
The solution to a system of linear equations is the point where the two lines intersect, which is the ordered pair \((x, y)\) that satisfies both equations.
Step2: Identify Intersection from Graph
From the given graph, the two lines (representing the system of equations) intersect at the point where \(x = 3\) and \(y = 1\) (by visually inspecting the graph, the intersection point has coordinates \((3, 1)\)).
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\((3, 1)\)