Respuesta :
Answer:[7, - 2]
Step-by-step explanation:
The system of simultaneous linear equations is expressed as
2x + 5y = 4- - - - - - - - - - - - - 1
3x - 4y = 29- - - - - - - - - - - - - 2
We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes
6x + 15y= 12 - - - - - - - - - - - - 3
6x - 8y = 58- - - - - - - - - - - - 4
Subtracting equation 4 from equation 3, it becomes
23y = - 46
Dividing the left hand side and the right hand side of the equation by 23, it becomes
23y/23 = - 46/23
y = - 2
Substituting y = - 2 into equation 1, it becomes
2x + 5 × - 2 = 4
2x - 10 = 4
2x = 10 + 4
2x = 14
Dividing the left hand side and the right hand side of the equation by 2, it becomes
2x/2 = 14/2
x = 7
Answer: X = 7 and y = -2
The solution to the system of the equation is (7, -2)
Step-by-step explanation:
2x + 5y = 4 -------------------------------------(1)
3x - 4y = 29 ------------------------------------(2)
multiply equation (1) by 3 and multiply equation (2) by 2
6x + 15y = 12 ------------------------------------(3)
6x - 8y =58 --------------------------------------(4)
subtract equation (4) from equation (3)
23y = -46
Divide both-side of the equation by 23 to get the value of y
23y/23 = - 46/23
y = -2
substitute y= -2 into equation (1)
2x + 5y = 4
2x + 5(-2) = 4
2x - 10 = 4
Add 10 to both-side of the equation
2x - 10 + 10 = 4 + 10
2x = 14
Divide both-side of the equation by 2 to get the value of x
2x/2 = 14/2
x = 7
x= 7 and y =-2
Therefore the solution to the system of the equation is (7, -2)
