Question

What is the result of adding these two equations?

5
x
−
9
y
=
1
−
7
x
+
2
y
=
−
5

5x−9y
−7x+2y
​

=1
=−5
​

Answer 1

x=103/265 y=18/53

Explanation:

5x -9y=1-----------(i)

-7x+2y=-5-----------(ii)

Multiplying eq 1 with 7 gives

35x-63y=7---------eq(iii)

Multiplying eq 2 with 5 gives

-35x+10y=-25--------eq(iv)

adding eq 3 qnd eq 4

35x-63y-35x+10y=7-25

-53y=-18

y=18/53--------eq5

Putting the value of y from eq 5 in eq 1

5x-9(18/53)=-5

5x- 162/53=-5

5x=-5 +162/53

5x= -265+162/53

5x=103/53

x=103/265