If the lines represented by the equations are graphed y = 3x + 2 and 2x - y = 4, their point of intersection is
Question
If the lines represented by the equations are graphed y = 3x + 2 and 2x - y = 4, their point of intersection is
Solution
To find the point of intersection of the two lines represented by the equations y = 3x + 2 and 2x - y = 4, you need to solve the system of equations. Here are the steps:
Step 1: Rewrite the second equation in the form y = mx + b. 2x - y = 4 can be rewritten as y = 2x - 4.
Step 2: Set the two equations equal to each other and solve for x. 3x + 2 = 2x - 4 Subtract 2x from both sides to get x = -6.
Step 3: Substitute x = -6 into either of the original equations to solve for y. If we substitute x = -6 into the first equation, we get y = 3*(-6) + 2 = -16.
So, the point of intersection of the two lines is (-6, -16).
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