(i) Prepare a set of at least three ordered pairs that satisfy the equation . (ii)…
MATHEMATICS · Subjective · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables
Problem
(i) Prepare a set of at least three ordered pairs that satisfy the equation 3x+2y=6.
(ii) Prepare a separate set of at least three ordered pairs that satisfy the equation x−y=1.
(iii) Plot the two lines representing these equations on the same Cartesian plane, using the same scale on both axes. Extend each line in both directions and draw arrow heads.
(iv) From your graph, write the coordinates of the point where the two lines intersect.
(v) Verify algebraically that the coordinates obtained in part (iv) satisfy both of the given equations.