Solve the system of equations algebraically.

1 answer:

4 0

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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