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Solve the system of linear equations using the graphing method. Use “no solution” and “infinitely many” when appropriate.y=−52x−4𝑦=−52𝑥−4y=−52x+2𝑦=−52𝑥+2Solution:

Question

Solve the system of linear equations using the graphing method. Use “no solution” and “infinitely many” when appropriate.y=−52x−4𝑦=−52𝑥−4y=−52x+2𝑦=−52𝑥+2Solution:

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Solution

To solve the system of linear equations using the graphing method, follow these steps:

Step 1: Graph the first equation on a coordinate plane. The equation y = -52x - 4 is a straight line with a slope of -52 and a y-intercept of -4.

Step 2: Graph the second equation on the same coordinate plane. The equation y = -52x + 2 is also a straight line with a slope of -52 and a y-intercept of 2.

Step 3: Look for the point(s) where the two lines intersect. This point is the solution to the system of equations.

However, in this case, the two lines are parallel and do not intersect because they have the same slope but different y-intercepts. Therefore, there is no solution to this system of equations.

This problem has been solved

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