A simultaneous equation refers to two or more equations that are solved at the same time.
What is a simultaneous equation?
A simultaneous equation refers to two or more equations that are solved at the same time. Now we shall solve each of the equations;
a. 2x + y = 3 ------(1)
x - y = 4 ------ (2)
x = 4 + y ----- (3)
Substituting (3) into (1)
2(4 + y) + y = 3
8 + 2y + y = 3
8 + 3y = 3
3y = 3 - 8
3y = -5
y = -5/3
Hence;
x - y = 4
x - (-5/3) = 4
x = 4 + 5/3
x = 17/3
b. 2x + 6y =9 -----(1)
x + 3y = 2 ------ (2)
x = 2 - 3y ------ (3)
Substitute (3) into (1)
2( 2 - 3y) + 6y =9
4 - 6y + 6y = 9 (From this stage we can see that it is not possible to solve the quadratic)
c. 6x - 3y = 12 -----(1)
4x + 2y = 10 ---- (2)
12x - 6y = 24 ---- (3)
12x + 6y = 30 --- (4)
Add (3) to (4)
24x = 54
x= 54/24 = 9/4
Hence;
4(9/4) + 2y = 10
9 + 2y = 10
2y = 10 - 9
y = 1/2
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