The solution to the system of equation is (3/2, -1/2)
System of equations
Given the following system of equations as shown;
(3x+y=4 .... * 4
2x-4y=5 ..... * 1
_______________
12x+4y=16
2x-4y=5
Add both equations
12x+2x = 16 + 5
14x = 21
x = 3/2
Substitute x = 3/2 into any of the equation to have;
2x-4y=5
2(3/2) - 4y = 5
3 - 4y = 5
-4y = 5 - 3
-4y = 2
y = -1/2
Hence the solution to the system of equation is (3/2, -1/2)
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