Question

Rodney is given two linear equations: x – y = 11 and 2x + y = 19. What value of x should he get as a solution for this system of linear equations

Answer 1

x = 10

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 2

x = 10

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:

`x - y = 1 1` - (1)

`2 x + y = 1 9` - (2)

From (1):

`x=11+y`

Substituting this value of x in (2):

`2(11+y)+y=19`

`22+2y+y=19`

`3y=19-22`

`y=-(3)/(3)`

`y=-1`

Substituting this value of y in (1) to find x:

`x=11+(-1)`

x = 10