Solve graphically the set of equations: 2x+3y = 6, 2x+y = -2

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The system of equations 2x + 3y = 6 and 2x + y = -2 has to be solved graphically. The two equations represents a set of straight lines. The coordinates of their point of intersection is the required solution.

It is seen that the lines intersect at the point (-3, 4)

**The solution of the set of equations is x = -3 and y = 4**

Lets use the method of elimination.

2x + 3y = 6

-- 2x + y = -2

-------------------

2y = 8

y = 4

2x + 4 = -2

2x = -6

x = -3

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