A pair of linear equations in two variables are $2 x - y = 4$ and $4 x - y = 6$ . This pair of equations are_______

Consistent equations

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

Dependent equations

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

Inconsistent equations

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

Cannot say

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

Open in App

Solution

The correct option is A Consistent equations
The pair of linear equations is consistent, the graph will be a pair of lines intersecting at a unique point, which is the solution of the pair of equations.

$2 x - y = 4$ ..........(i)
$4 x - y = 6$ ..........(ii)
(i)-(ii), we get
$2 x - 4 x = 4 - 6$
$\Rightarrow - 2 x = - 2$
$\Rightarrow x = 1$
$y = 2 x - 4$
$y = 2 - 4 = - 2$
$y = - 2$
the intersection point will be, $(1, - 2)$ , hence the equations are consistent

Suggest Corrections

Similar questions

Which of the following pairs of linear equations are consistent/inconsistent?
(i) x + 3y – 5 = 0, 2x + y = 0
(ii) 2x + y = 1, 2y = 2 – 4x
(iii) 2x – y = 2, 2y – 4x = 2

Q. Solve the following pair of linear equations in two variables:

3 = 2 x + y

and

9 = 4 x - y

Question 4 (iii)
Which of the following pairs of linear equations are consistent/ inconsistent? If consistent, obtain the solution graphically:
2x + y - 6 = 0, 4x - 2y - 4 = 0

Q. Solve the pair of linear equations graphically.

2 x + y - 6 = 0

4 x - 2 y - 4 = 0

Q. Are the following pair of linear equations consistent?

\frac{3}{5} x - y = \frac{1}{2}; \frac{1}{5} x - 3 y = \frac{1}{6}

Join BYJU'S Learning Program

A pair of linear equations in two variables are 2x−y=4 and 4x−y=6. This pair of equations are_______

A pair of linear equations in two variables are $2 x - y = 4$ and $4 x - y = 6$ . This pair of equations are_______