Respuesta :
x-value of the solution is 2.
Option B is correct.
What is elimination method?
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.
Given
System of equations
4x + 3y = 17 .............(1)
6x + 7y = 33.............(2)
Multiply both sides of the equation(1) by a coefficient of 3
3(4x + 3y) = 3 × 17
⇒ 12x + 9y = 51............(3)
Multiply both sides of the equation(2) by a coefficient of 2
2(6x + 7y) = 2 × 33
⇒ 12x + 14y = 66............(4)
Using elimination method, Eliminating x by subtracting equation 3 and 4
12x + 9y - (12x + 14y) = 51 - 66
⇒ 9y - 14y = -15
⇒ -5y = -15
⇒ y = 3
Substitute y = 3 in equation 1
4x + 3(3) = 17
⇒ 4x + 9 = 17
⇒ 4x = 17 - 9
⇒ 4x = 8
⇒ x = 2
Hence, x-value of the solution is 2.
Option B is correct.
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