Respuesta :
On solving the equations by elimination method, the value of x is 4 and y is -8.
What is elimination method in solving linear equations?
'The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.'
According to the given problem,
Given equations = 2x - 2y = 24 (1)
4x + 7y = -40 (2)
Now, Multiplying equation (1) with 2,
⇒ 2( 2x - 2y ) = 2 × 24
⇒ 4x - 4y = 48 (3)
Now subtracting Equation (3) from equation (1),
⇒ 4x + 7y - (4x - 4y) = -40 - 48
⇒ 4x + 7y - 4x + 4y = -88
⇒ 11y = -88
⇒ y = -8
Now, putting value of y in equation (1),
⇒ 2x - 2(-8) = 24
⇒ 2x + 16 = 24
⇒ 2x = 24 - 16
⇒ 2x = 8
⇒ x = 4
Hence, we can conclude the value of x = 4 and y = -11 by elimination method.
Learn more about elimination method here:
https://brainly.com/question/14619835
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