Choose the correct answer from the given four options:
The pair of equations $ y=0 $ and $ y=-7 $ has
(A) one solution
(B) two solutions
(C) infinitely many solutions
(D) no solution
Given:
The pair of equations \( y=0 \) and \( y=-7 \).
To do:
We have to find the correct option.
Solution:
The graphical representation of the given lines is,
We can observe that, the given lines are parallel to each other and therefore have no solution.
Related Articles
- Choose the correct answer from the given four options:The pair of equations \( x+2 y+5=0 \) and \( -3 x-6 y+1=0 \) have(A) a unique solution(B) exactly two solutions(C) infinitely many solutions(D) no solution
- Which one of the following options is true, and why? \( y=3 x+5 \) has(i) a unique solution,(ii) only two solutions,(iii) infinitely many solutions.
- Choose the correct answer from the given four options:The pair of equations \( x=a \) and \( y=b \) graphically represents lines which are(A) parallel(B) intersecting at \( (b, a) \)(C) coincident(D) intersecting at \( (a, b) \)
- Find \( c \) if the system of equations \( c x+3 y+3-c=0, 12 x+cy-c=0 \) has infinitely many solutions?
- The value of \( c \) for which the pair of equations \( c x-y=2 \) and \( 6 x-2 y=3 \) will have infinitely many solutions is(A) 3(B) \( -3 \)(C) \( -12 \)(D) no value
- Choose the correct answer from the given four options:Graphically, the pair of equations$6 x-3 y+10=0$$2 x-y+9=0$represents two lines which are(A) intersecting at exactly one point.(B) intersecting at exactly two points.(C) coincident.(D) parallel.
- Find the values of \( a \) and \( b \) for which the following system of equations has infinitely many solutions:$2x+3y-7=0$$(a-1)x+(a+1)y=(3a-1)$
- Find the value(s) of \( p \) and \( q \) for the following pair of equations:\( 2 x+3 y=7 \) and \( 2 p x+p y=28-q y \),if the pair of equations have infinitely many solutions.
- Find the values of \( a \) and \( b \) for which the following system of equations has infinitely many solutions:$2x+3y=7$$(a-b)x+(a+b)y=3a+b-2$
- Find the value of $p$ such that the pair of equations \( 3 x-y-5=0 \) and \( 6 x-2 y-p=0 \), has no solution.
- For which values of \( a \) and \( b \), will the following pair of linear equations have infinitely many solutions?\( x+2 y=1 \)\( (a-b) x+(a+b) y=a+b-2 \)
- Find the values of \( a \) and \( b \) for which the following system of equations has infinitely many solutions:$2x+3y=7$$(a-1)x+(a+2)y=3a$
- Find the values of \( k \) for which the system\(2 x+k y=1\)\( 3 x-5 y=7 \)will have no solution. Is there a value of $k$ for which the system has infinitely many solutions?
- Do the following pair of linear equations have no solution? Justify your answer.\( x=2 y \)\( y=2 x \)
- Two solutions X and Y are tested with universal indicator. Solution X turns orange whereas solution Y turns red. Which of the solutions is a stronger acid?
Kickstart Your Career
Get certified by completing the course
Get Started