Respuesta :
Answer: y = 6, x = 5
Step-by-step explanation:
3x + 7y = 57 −6x + 2y = −18
2*(3x + 7y = 57)−6x + 2y = −186x+14y=114−6x+2y=−1816y=96y = 6
3x + 7(6) = 57 ; 3 x = 57 – 42 ; 3x = 15 ; x = 5
CHECK:−6(5) + 2(6) = −18 ; -30 + 12 = - 18 ; -18 -= -18
CORRECT! Solution Set: y = 6, x = 5
The solution of the given system of equations is y = 3, x = 10
We have given a system of linear equation
3x-7y=9.....(1)
3x-9y=3...(2)
Which method is used to solve the system of a linear equation?
1. The substitution method
2. The elimnation method
3. Graphing method
We use the elimination method
subtract equation 1 from 2
3x - 7y = 9
-
3x - 9y = 3
0x+2y=6
2y=6...(3)
y=6/2=3
Use this value of y in equation 1 so we get,
3x-7y=9
plug value of y
3x-7(3)=9
3x-21=9
add like terms
3x=9+21
3x=30
divide bot side by 3
x=10
So the solution set is y=3 and x=10
To learn more about the simultaneous equation visit:
https://brainly.com/question/21654746
