Solve the system of linear equations by graphing. Round the solution to the nearest tenth.y=−0.25x+4.7y=4.9x−1.64The approximate solution to the system is (, ).
Question
Solve the system of linear equations by graphing. Round the solution to the nearest tenth.y=−0.25x+4.7y=4.9x−1.64The approximate solution to the system is (, ).
Solution
To solve the system of linear equations by graphing, follow these steps:
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Graph the first equation on a graph paper or using a graphing tool. The equation y = -0.25x + 4.7 is in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. So, the line will have a slope of -0.25 and will cross the y-axis at 4.7.
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Graph the second equation on the same graph. The equation y = 4.9x - 1.64 is also in slope-intercept form. This line will have a slope of 4.9 and will cross the y-axis at -1.64.
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Look for the point where the two lines intersect. This point is the solution to the system of equations.
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If the lines do not intersect on an exact point on the graph, estimate the point of intersection and round to the nearest tenth.
After graphing these two equations, you will find that they intersect approximately at the point (0.7, 4.4). So, the solution to the system of equations is (0.7, 4.4).
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