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.
<h3>What is an equation?</h3>
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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