Solve the given pair of equations by substitution method:
$x + 5 y = 18$
$3 x + 2 y = 41$

(13, 1)

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

(1, 3)

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

(12, 17)

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

(9, 16)

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

Open in App

Solution

The correct option is D $(13, 1)$
We have, $x + 5 y = 18 \Rightarrow x = 18 - 5 y$ ..........(1)
and $3 x + 2 y = 41$ .......(2)
Now substitute value x in terms of y from (1) to (2)
$\Rightarrow 3 (18 - 5 y) + 2 y = 41$
$\Rightarrow 54 - 15 y + 2 y = 41$
$\Rightarrow 15 y - 2 y = 54 - 41$
$\Rightarrow 13 y = 13 \Rightarrow y = \frac{13}{13} = 1$
So $x = 18 - 5 y = 18 - 5 (1) = 13$
Hence solution set is $(x, y) = (13, 1)$

Suggest Corrections

Similar questions

Q. Solve the following pair of equations by substitution method

2 x + 5 y = 2

and

x + 2 y = 3

Q. Solve the following pair of linear equations by substitution method:

8 x + 5 y = 12

3 x - 2 y = 0

Solve the following pair of equations by the elimination method and the substitution method:

3 x - 5 y - 4 = 0

and

9 x = 2 y + 7

Q. Solve the following pair of linear equations by the substitution and cross-multiplication methods :

8 x + 5 y = 9

;

3 x + 2 y = 4

Question 1 (iii)
Solve the following pair of linear equations by the elimination method and the substitution method:
3x - 5y - 4 = 0 and 9x = 2y + 7

Join BYJU'S Learning Program

Solve the given pair of equations by substitution method:x+5y=183x+2y=41

The correct option is D (13,1)We have, x+5y=18⇒x=18−5y ..........(1)and 3x+2y=41.......(2)Now substitute value x in terms of y from (1) to (2)⇒3(18−5y)+2y=41⇒54−15y+2y=41⇒15y−2y=54−41⇒13y=13⇒y=1313=1So x=18−5y=18−5(1)=13Hence solution set is (x,y)=(13,1)

Solve the given pair of equations by substitution method:
$x + 5 y = 18$
$3 x + 2 y = 41$