Question

Solve the following pair of linear equations
2x + y = 5
2x-3y =5​

Answer 1

Step-by-step explanation:

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.

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Answer 2

Answer:

2x + y = 5 ------------(1)

2x - 3y = 5 -----------(2)

Subtracting equation (2) from equation (1) ---->

2x + y = 5

2x - 3y = 5

(-)     (+)     (-)

------------------

      4y = 0

therefore y= 0

substituting the value of y in (1)

2x + 0 = 5

x = 5/2

therefore y = 0 and x = 5/2