Question

problem: 2x-y:x+2y=4:7 and x:y=?​

Answer 1

Step-by-step explanation:

ANSWER

Equation I:- 2x+y=5

Equation II:- x+2y=4

∴ We multiply Equation I by 2.

(2x+y=5)×(2)=(4x+2y=10)

We get equation III =4x+2y=10

Now, we subtract equation III & equation II.

(4x+2y=10)−(x+2y=4)

∴(4x−x)+(2y−2y)=(10−4)

∴(3x)+(0)=(6)

∴3x=6

∴x=

3

6

=2

We get x=2.

Now we substitute x=2 in equation II.

Equation II:- x+2y=4

∴2+2y=4

∴2y=4−2

∴2y=2

∴y=2/2

∴y=1

Answer 2

Answer:

What would you like to ask?

MATHS

avatar

Asked on December 27, 2019 by

Pratika Panchal

The equations 2x+y=5 and x+2y=4 are

Share

Study later

ANSWER

Equation I:- 2x+y=5

Equation II:- x+2y=4

∴ We multiply Equation I by 2.

(2x+y=5)×(2)=(4x+2y=10)

We get equation III =4x+2y=10

Now, we subtract equation III & equation II.

(4x+2y=10)−(x+2y=4)

∴(4x−x)+(2y−2y)=(10−4)

∴(3x)+(0)=(6)

∴3x=6

∴x=

3

6

=2

We get x=2.

Now we substitute x=2 in equation II.

Equation II:- x+2y=4

∴2+2y=4

∴2y=4−2

∴2y=2

∴y=2/2

∴y=1

Solving given equations, we get : x=2,y=1.

Thus, (a) is true.