Respuesta :
Answer:
x =4.
Step-by-step explanation:
Given : 2x − y = 11 and x + 3y = −5.
To find : What is the x-value in the solution to this system of linear equations.
Solution : We have given
2x − y = 11 -------(1)
x + 3y = −5 ------(2).
On subtracting both sides by 3y from equation 2
x = -5 -3y.
Now , plug the values of x = -5 -3y in equation 1.
2 ( -5 - 3y ) -y = 11.
-10 - 6y - y = 11.
-10 - 7y = 11.
On adding both sides by 10.
- 7y = 11 + 10.
-7y = 21.
On dividing both sides by -7
y = -3.
Now, plug y = -3 in x = -5 -3y .
x = - 5 - 3 ( -3) .
x = -5 + 9.
x = 4 .
Therefore, x =4.
