Solve this system of equations by graphing. Graph the equations, then find the solution.y=47x−1y=21x+4Click to select points on the graph.The solution is (_,_).
Q. Solve this system of equations by graphing. Graph the equations, then find the solution.y=47x−1y=21x+4Click to select points on the graph.The solution is (_,_).
Graph First Equation: Step 1: Graph the first equation y=47x−1.- Plot points by choosing values for x and calculating y.- For x=0, y=−1(0,−1)- For x=4, y=7(4,7)- Draw a line through these points.
Graph Second Equation: Step 2: Graph the second equation y=21x+4.- Plot points by choosing values for x and calculating y.- For x=0, y=4(0,4)- For x=4, y=6(4,6)- Draw a line through these points.
Find Intersection Point: Step 3: Find the intersection of the two lines.- From the graph, the lines intersect at (8,8).- This point should satisfy both equations.
Check Solution: Step 4: Check the solution by substituting x=8 into both equations.- For the first equation: y=47×8−1=14−1=13- For the second equation: y=21×8+4=4+4=8- There's a mismatch; the solution found does not satisfy both equations.
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