Question

Solve the system of equations.

2x − 5y = 3
x − 3y = 1
(4, 1)
(5, 2)
(7, 2)
(9, 3)

Answer 1

2x - 5y = 3
x - 3y = 1...multiply by -2
---------------
2x - 5y = 3
-2x + 6y = -2 (result of multiplying by -2)
--------------add
y = 1

x - 3y = 1
x - 3(1) = 1
x - 3 = 1
x = 1 + 3
x = 4

solution is (4,1)

Answer 2

Answer: First Option is correct.

Explanation:

Since we have given that

`2x-5y = 3\\\\ x -3y = 1`

Now, we will use "Substitution Method" to find the values of x and y:

`x=1+3y\ -(3)`

Put the value of x in first equation i.e.

`2x-5y = 3`

`2(1+3y)-5y=3\\\\2+6y-5y=3\\\\2+y=3\\\\y=3-2\\\\y=1`

Now, we use the value of y in equation (3),

`x=1+3y\\\\x=1+3*1\\\\x=1+3\\\\x=4`

Hence, values of (x,y) is (4,1).

Therefore, First Option is correct.