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C_(2) : Find the solution set by graphical method. (Find) ordered pairs.) 3x-y=11;x-9=3y

C2 C_{2} : Find the solution set by graphical method. (Find) ordered pairs.) 3x−y=11;x−9=3y 3 x-y=11 ; x-9=3 y

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Full solution

Q. C2 C_{2} : Find the solution set by graphical method. (Find) ordered pairs.) 3x−y=11;x−9=3y 3 x-y=11 ; x-9=3 y
  1. Rewrite Equations: First, let's rewrite the equations in slope-intercept form y=mx+by = mx + b.\newlineFor the first equation, 3x−y=113x - y = 11, we solve for y to get y=3x−11y = 3x - 11.
  2. Solve for y: Now, for the second equation, x−9=3yx - 9 = 3y, we solve for y to get y=13x−3y = \frac{1}{3}x - 3.
  3. Plot Lines: Next, we plot the two lines on a graph. The point where they intersect is the solution to the system.
  4. Find Intersection Point: After plotting, we find that the lines intersect at the point (6,7)(6, 7).

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