Solve 5x + 2y = 2 and 2x + 3y = -8
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5x + 2y = 2
and
2x + 3y = -8
we will use substitution method to solve this,
then,
5x + 2y = 2
can also be written as
x = (2 - 2y)/5
and,
2x + 3y = -8
can be written as
x = (-8 -3y)/2
now here the value of 'x' is constant. So, we equate them
i.e. (2 - 2y)/5 = (-8 -3y)/2
or, 4 - 4y = -40 - 15y
or, 4 + 40 = -15y +4y (taking the variables on one side)
44 = -11y
therefore, y = -4
then by out the value of y in any one of the equation we get the value of x as follows
5x + 2(-4) = 2
5x = 2+8
5x = 10
therefore, x = 2
The values of x and y are 2 and -4 respectively.
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