Answer:
The solution for the given system of equations using the linear combination method. is (-3, -8)
Step-by-step explanation:
Given equations 4x - 3y = 12 and 7x - 3y = 3
We have to solve the system of equations using the linear combination method.
Linear equation method is a method in which we simply add or subtract he given equations which results in cancelling out of same terms.
Consider the Given equations
4x - 3y = 12 ........(1)
7x - 3y = 3 ...........(2)
Subtract (1) and (2) , we get,
⇒ 4x - 3y - ( 7x - 3y) = 12 - 3
Apply plus minus rule, [tex]-(-a)=a[/tex] we get,
⇒ 4x - 3y - 7x + 3y= 12 - 3
Simplify , we get,
⇒ 4x - 7x = 12 - 3
⇒ -3x= 9
Divide both side by -3 , we get,
⇒ x = -3
Put in x= -3 in equation (1) , we get,
⇒ 4(-3) - 3y = 12 ⇒ -12 - 3y = 12 ⇒ - 3y = 12 + 12 ⇒ 4(-1) - 3y = 24 ⇒ y = - 8
Thus, the solution is (-3, -8).
The solution for the given system of equations using the linear combination method. is (-3, -8)
