Question

solve for x and y 2x-3y=13,7x-2y=20​

Answer 1

Answer:

x=2,y=3

Step-by-step explanation:

The given equations are

2x - 3y = 13 .........(i)

7x - 2y = 20 .......(ii)

Multiplying (i) by 2 and (ii) by 3, we get

4x - 6y = 26 ........(iii)

21x - 6y = 60 ......(iv)

Subtracting (iii) from (iv), we get

21x - 4x = 60 - 26

17x = 34

x = 2

Substituting x = 2 in (i),we get

4 - 3 y = 13

- 3 y = 13 - 4

- 3 y = 9

y = -3

Solution of given system of equations is x = 2, y = -3.

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Answer 2

Answer:

2x-3y=13

or, 4x-6y=26 ......(i) [×2

7x-2y=20

or, 21x-6y=60 .......(ii) [×3

solving eq. (I) & (ii)

we get, -17x=-34

X= 2

putting the value of X in eq. (ii)

4x-6y=26

or, -6y=26-8

or, y=-3