Question
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Solve this system of equations by graphing. First graph the equations, and then type the solution. \[ y=\frac{5}{2} x-1 \] \( y=\frac{7}{2} x-3 \) Click to select points on the graph.

Ask by Gonzalez Gibson. in the United States
Jan 23,2025

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Answer

The solution is the point where the two lines intersect, which is (2, 4).

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Bonus Knowledge

To solve the system of equations by graphing, you can start by graphing each equation on the same coordinate plane. For the first equation \( y = \frac{5}{2}x - 1 \), start at the y-intercept (0, -1) and then rise 5 units and run 2 units right to plot another point. For the second equation \( y = \frac{7}{2}x - 3 \), begin at (0, -3) and then rise 7 units and run 2 units right for the next point. After plotting both lines, look for the point where they intersect, which gives you the solution to the system. By accurately graphing these equations, you should find that they intersect at the point \((2, 4)\). Therefore, the solution to the system of equations is \( (2, 4) \). Happy graphing!

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