Question

2x + 3y = 13 and 4x - y = -2 what is x and y

Answer 1

Step-by-step explanation:

2x+3y=13......(1)

4x-y=-2.....(2)

now multiply by 2 I. (1)

4x+6y=26

4x-y=-2

substrate

7y=28

y=4

put y in 1

2x+3(4)=13

x=1/2

Answer 2

Solving the equations 2x + 3y = 13 and 4x - y = -2, we get

x = 1/2

y = 4

Given:

Equations:

2x + 3y = 13

4x - y = -2

To find:

The values of x and y

Solution:

In order to solve the two equations, we first combine the two equations and eliminate either x or y term and get a equation solely in terms of one of the two variables.

So,

2x + 3y = 13 --- (1)

4x - y = -2 --- (2)

Multiplying the equation (2) by 3, we get

12x - 3y = -6 --- (3)

Adding the two equations (1) and (3), we get

(2x + 3y) + (12x - 3y) = 13 - 6

=> 14x = 7

=> x = 7/14

=> x = 1/2 = 0.5

Substituting the value of x in equation (1), we get

2(1/2) + 3y = 13

=> 1 + 3y = 13

=> 3y = 13 - 1

=> 3y = 12

=> y = 12/3

=> y = 4

Hence,

x = 1/2

y = 4

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