The pair of linear equations 2x - 5y - -11- and- 5x - 15y - - 44 haveNo solutions-One solutions-Two solutions-Many solutions-

The correct option is B One solutions Here , 2/5≠5/15 ⇒a_1/a_2≠b_1/b_2 which is the condition for the unique solution So, the system of equations have one ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Comparing the Ratios of Coefficients of a Linear Equation

The pair of l...

Question

The pair of linear equations $2 x + 5 y = - 11 a n d 5 x + 15 y = - 44$ have

Many solutions

No worries! We‘ve got your back. Try BYJU‘S free classes today!

No solutions

No worries! We‘ve got your back. Try BYJU‘S free classes today!

One solutions

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Two solutions

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C One solutions
Here , $\frac{2}{5} \neq \frac{5}{15}$

$\Rightarrow \frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}$ which is the condition for the unique solution

So, the system of equations have one solution.

Suggest Corrections

Similar questions

Q. The linear equation 2x + 5y = 16 has
(a) a unique solution
(b) two solutions
(c) no solution
(d) infinitely many solutions

Q. The pair of equations

2 x - 5 y + 4 = 0 and 2 x + y - 8 = 0

has

(a) a unique solution
(b) exactly two solutions
(c) infinitely many solutions
(d) no solutions

Q. For what value of k will the following pair of linear equations have infinitely many solutions?

2 x - 3 y = 7 (k + 1) x + (1 - 2 k) y = (5 x - 4)

Q. The pair of linear equations

6 x - 3 y + 10 = 0, 2 x - y + 9 = 0

has
(a) one solution
(b) two solutions
(c) many solutions
(d) no solution

Q. The pair of linear equations

2 x + 5 y = - 11 a n d 5 x + 15 y = - 44

have

Join BYJU'S Learning Program

The pair of linear equations 2x+5y=−11 and 5x+15y=−44 have

The correct option is C One solutions Here , 25≠515 ⇒a1a2≠b1b2 which is the condition for the unique solution So, the system of equations have one solution.

The pair of linear equations $2 x + 5 y = - 11 a n d 5 x + 15 y = - 44$ have

The correct option is C One solutions
Here , $\frac{2}{5} \neq \frac{5}{15}$

$\Rightarrow \frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}$ which is the condition for the unique solution

So, the system of equations have one solution.