If 3y = 12, 2y = 8
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5y = 3y + 12 5y - 3y = (3y - 3y) + 12 2y = 12 y = 6
2y + 3 = 3y + 9 2y - 3y = 9 - 3 or -y = 6 so y = -6
2x+6y = 24 5x-2y = 9 Divide all terms in the top equation by 2: x+3y = 12 => x = 12-3y Substitute x = 12-3y into the bottom equation: 5(12-3y)-2y = 9 60-15y-2y = 9 -15y-2y = 9-60 -17y = -51 y = 3 Substitute the value of y into the original equations to find the value of x: Answer: x = 3 and y = 3
Plot the straight line representing 2y = 12 - x. Plot the straight line representing 3y = x - 2 The coordinates of the point of intersection of these two lines is the solution to the simultaneous equations.
5y + (4 - 2y) = 9 5y + 4 - 2y = 9 3y + 4 = 9 3y = 5 y = 5/3