Identify the y-coordinate of the solution for the following system of equations by graphing. −3x − 2y = 2 4y − 2x = 12
Question
Identify the y-coordinate of the solution for the following system of equations by graphing. −3x − 2y = 2 4y − 2x = 12
Solution
Step 1: Rewrite both equations in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
For the first equation, −3x − 2y = 2, we can rewrite it as: -2y = 3x + 2 y = -3/2x - 1
For the second equation, 4y − 2x = 12, we can rewrite it as: 4y = 2x + 12 y = 1/2x + 3
Step 2: Graph both equations on the same set of axes.
Step 3: Identify the point where the two lines intersect. This point is the solution to the system of equations. The y-coordinate of this point is the y-value of the solution.
Without a graph, we can't provide the exact y-coordinate. However, you can follow these steps to find it.
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