Solve the system by either substitution or elimination.

3x−5y=212x+y=1(1 point)
Responses

(2,−3)
open paren 2 comma negative 3 close paren

(2,3)
open paren 2 comma 3 close paren

(−2,−1)
open paren negative 2 comma negative 1 close paren

(−2,1)

1 answer

To solve the system of equations by elimination, we can multiply the second equation by 5 to get:

10x + 5y = 5

Now, we can add this equation to the first equation to eliminate the variable y:

(3x - 5y) + (10x + 5y) = 21 + 5

Combining like terms, we get:

13x = 26

Dividing by 13 on both sides, we get:

x = 2

Substituting this value of x into the second equation, we get:

2(2) + y = 1
4 + y = 1
y = -3

Therefore, the solution to the system of equations is (2, -3).

Answer: (2, -3)