Answer:
x = 10
Step-by-step explanation:
Given the 2 equations
x - y = 11 → (1)
2x + y = 19 → (2)
Adding the 2 equations term by term eliminates the term in y, that is
(x + 2x) + (- y + y) = (11 + 19), simplifying gives
3x = 30 ( divide both sides by 3 )
x = 10
Answer:
x = 10
Step-by-step explanation:
We know that Rodney is given the following two linear equations and we are to find the value of x at which he would get a solution for this system of linear equations:
[tex] x - y = 1 1 [/tex] - (1)
[tex] 2 x + y = 1 9 [/tex] - (2)
From (1):
[tex]x=11+y[/tex]
Substituting this value of x in (2):
[tex]2(11+y)+y=19[/tex]
[tex]22+2y+y=19[/tex]
[tex]3y=19-22[/tex]
[tex]y=-\frac{3}{3}[/tex]
[tex]y=-1[/tex]
Substituting this value of y in (1) to find x:
[tex]x=11+(-1)[/tex]
x = 10
