An equation is formed of two equal expressions. The value of x and y is 17 and 20, respectively. Thus, the correct option is D.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Solving the first equation for y,
4x - 3y = 8
-3y = 8 - 4x
y = (8-4x)/(-3)
Solving the second equation for y,
5x - 4y = 5
-4y = 5 - 5x
y = (5 - 5x)/(-4)
Equate the value of y,
y = y
(8-4x)/(-3) = (5 - 5x)/(-4)
-32 + 16x = -15 + 15x
16x - 15x = -15 + 32
x = 17
Substitute the value of x in any one of the equation,
4x - 3y = 8
4(17) - 3y = 8
68 - 3y = 8
-3y = -60
y = 20
Hence, the value of x and y is 17 and 20, respectively. Thus, the correct option is D.
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