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

Solution of an Equation

Choose the co...

Question

Choose the correct answer from the alternatives given :
If $2 x + 3 y = 12$ and $3 x - 2 y = 5$ , then

x = 9, y = - 2

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

x = 3, y = 2

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

x = 0, y = 4

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

x = - 3, y = 6

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

Open in App

Solution

The correct option is B $x = 3, y = 2$
$2 x + 3 y$ = $12$ ......(i)
$3 x - 2 y = 5$ ........(ii)
multiplying (i) by 2 and (ii) by 3 we get,
$4 x + 6 y = 24$ .........(iii)
$9 x - 6 y$ = $15$ .......(iv)
Adding (iii) and (iv),
$13 x = 39$
$x = 3, y = 2$

Suggest Corrections

Similar questions

Choose the correct answer in each of the following questions:

If $2 x + 3 y = 12 a n d 3 x - 2 y = 5$ then

(a) x=2,y=3 (b) x=2,y=-3 (c) x=3,y=2 (d) x=3,y=-2

\frac{x + y - 8}{2} = \frac{x + 2 y - 14}{3} = \frac{3 x + y - 12}{11}

Four alternative options are given for each of the following statements. Select the correct option.

The expansion of (2x − 3y)² is:

A. 2x² + 3y² + 6xy

B. 4x² + 9y² − 12xy

C. 2x² + 3y² − 6xy

D. 4x² + 9y² + 12xy

\frac{1}{2 x} + \frac{1}{3 y} = 2; \frac{1}{3 x} + \frac{1}{2 y} = \frac{13}{6}

\frac{2}{\sqrt{x}} + \frac{3}{\sqrt{y}} = 2; \frac{4}{\sqrt{x}} - \frac{9}{\sqrt{y}} = - 1

\frac{4}{x} + 3 y = 14; \frac{3}{x} - 4 y = 23

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

\frac{7 x - 2 y}{x y} = 5; \frac{8 x + 7 y}{x y} = 15

6 x + 3 y = 6 x y; 2 x + 4 y = 5 x y

\frac{10}{x + y} + \frac{2}{x - y} = 4; \frac{15}{x + y} - \frac{5}{x - y} = - 2

\frac{1}{3 x + y} + \frac{1}{3 x - y} = \frac{3}{4}; \frac{1}{2 (3 x + y)} - \frac{1}{2 (3 x - y)} = \frac{- 1}{8}

Join BYJU'S Learning Program