Question

What is the solution of x+2y=25; 2x- 2y=5?. Single choice.

(1 Point)

x=10, y=7.5

x=10, y=-7.5

x=-10, y=-1

x=7.5, y=10

3.What is the solution of 2x-y=6; x-y=0?. Single choice.

(1 Point)

x=0, y=6

x = 6, y = 0

x=6, y=6

x=0, y=-6


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Answer 1

Answer:

(i) x+y=5,2x+2y=10

(ii) x−y=8,3x−3y=16

(iii) 2x+y−6=0,4x−2y−4=0

(iv) 2x−2y−2=0,4x−4y−5=0

3.The given equation is x+2y=6 .....(1)

Putting x=0 in equation 1, we get

⇒0+2y=6

⇒2y=6⇒y=3

(0,3) is a solution

Putting y=0 in equation 1, we get

⇒x+2×0=6

⇒x=6

(6,0) is a solution.

Putting x=2 in equation 1, we get

⇒2+2y=6

⇒2y=6−2⇒2y=4

⇒y=2

(2,2) is a solution.

Putting x=4 in equation 1, we get

⇒4+2y=6

⇒2y=2⇒y=1

(4,1) is a solution.

Hence, (0,3),(6,0),(2,2) and (4,1) are four solutions of given equation.