Q:

5x + 3y = 14x - 2y =14

Accepted Solution

A:
y = -3 x = 2Step-by-step explanation:We’ll solve the simultaneous equation by elimination method;5x + 3y = 14x - 2y =14We make eliminate one variable by making it similar on both equations so we end up with zero (0) in its subtraction. We focus on eliminating x;4(5x + 3y = 1)5(4x - 2y =14)Therefore;20x + 12y = 420x – 10y = 70We begin elimination;20x + 12y = 4-20x – 10y = 70=0x + 22y = -6622y = -66y = -66/22y = - 3We can evaluate x by replacing the value of y with -3 in one of the equations;5x + 3y = 15x + 3(-3) = 15x – 9 = 15x = 1 + 9 5x = 10X = 10/5X = 2Learn More:For more on solving simultaneous equations check out;