Simplify the Simultaneous equation x/3+4/4=4;x/2-y/4=1
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Answer:
X=1, Y= -2
Step-by-step explanation:
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Given equations are,
{x/3 + y/4 = 4}x/3 + y/4 = 4 ------(1)
{x/2 - y/4 = 1}x/2 - y/4 = 1 -------(2)
Since coefficients of y are equal and opposite,we can eliminate y to find the value of x.
{Lets add equations (1) and (2),}Lets add equations (1) and (2),
=> (x/3 + y/4) + (x/2 - y/4) = 4 + 1
=> x/3 + x/2 + y/4 - y/4 = 5
=> (2x + 3x)/6 = 5
=> 5x = 5×6
=> x = 6
{Lets put the value of x}Lets put the value of x in \{equation (1),}equation (1),
x/3 + y/4 = 4
=> 6/3 + y/4 = 4
=> 2 + y/4 = 4
=> y/4 = 2
=> y = 8
x = 6
y = 8
Step-by-step explanation:
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