MyQuestionIcon

1

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

Linear Equation

If 2 x+3 y=78...

Question

If 2x + 3y = 78 and 3x + 2y = 72, what is the value of x + y?

A

36

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

B

32

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

C

30

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

D

Cannot be determined.

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

E

None of these

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

Open in App

Solution

The correct option is C 30
2x + 3y = 78 ........ (1)
3x + 2y = 72 ........ (2)
Multiplying by 2 in Equation (1) and 3 in Equation (2) and subtract
$4 x + 6 y = 156$
$9 x + 6 y = 216$
$- - - - -------------- -$
$- 5 x = - 60$
$x = 12$
Put the value of x in Equation (1)
$2 \times 12 + 3 y = 78$
y = 18
Then x + y = 12 + 18 = 30

Suggest Corrections

thumbs-up

1

Similar questions

3 x - 2 y = 5

3 y - 2 x = 3

then find the value of

(x + y)

Q. Find the value of

X

Y

2 X + 3 Y = [\begin{matrix} 2 & 3 4 & 0 \end{matrix}]

3 X + 2 Y = [\begin{matrix} 2 & - 2 - 1 & 5 \end{matrix}]

2 x - 3 y = - 14

3 x - 2 y = - 6

(x, y)

is a solution to the system of equations above, what is the value of

x y

?

Q. Find the value of

x

y

3 x + 2 y = 4

2 x - 3 y = 7

a = \frac{x + 2 y}{2 x + y}

b = \frac{x + 3 y}{3 x + y}

, then find the value of ab + 5(a - b).

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Linear Equation

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Linear Equation

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon