Question

What is the solution to the following system of equations?

x − 3y = 5
2x + y = 10

(5, 0)
(0, 5)
(7, 0)
(0, 7)

Answer 1

x=5+3y
10+6y+y=10
7y=0
y=0
x=5

Answer 2

Answer: (5,0)

Explanation:

x - 3y =5 -----------(1)

2x + y = 10 ----------(2)

By elimination method, multiply eqn(1) by 2

2x - 6y = 10 ------------(3)

eqn(3) - eqn(2)

-7y = 0

Divide bothside by -7

y= 0

Now, we substitute the value of y in eqn(1)

x - 3(0) = 5

x - 0 = 5

x=5

Therefore,x=5 and y=0