Question

The pair of linear equations y = 2 and y = −3 has……. a) Only one common solution b) no common solution c) Many common solutions d) none of the above​

Answer 1

Answer:

Correct option is

B

2x+5y=−11 and 4x+10y=−22

C

2x−y=1 and 3x+2y=0

As x=2,y=−3 is unique solution of system of equations so these values of must satisfy both equations

(a) x+y=−1 and 2x−3y=−5

Put x= and y=3 in bot the equations.

LHS=x+y⇒2−3=−1(RHS)

LHS=2x−3y⇒2(2)−3(3)⇒4+9=13



=RHS

(b) 2x+5y=−11 and 4x+10y=−22

Put x=2 and y=−3 in both equations.

LHS=2x+5y⇒2×2+(−3)⇒4−15=−11=RHS

LHS=4x+10y⇒4(2)+10(−3)⇒8−30=−22=RHS

(c) 2x−y=1 and 3x+2y=0

Put x=2 and y=−3 in both the equations'

LHS=2x−y⇒2(2)+3⇒7



=RHS

LHS=3x+2y⇒3(2)+1(−3)⇒6−6=0RHS

Answer 2

Given: pair of linear equations are $y=2,y=-3$.

To find: whether the given pair of linear equation has which type pf solution.

Solution:

Know that, Graphically $y=2,y=-3$ are the straight line parallel to x - axis, 2 units and 3 units units respectively from the origin.

Therefore, lines $y=2,y=-3$ are parallel.  thus, They have no solution., as solution is the intersection point of both the lines).

Hence, the correct answer is option (b). i.e., no common solution.