Asked by Latina baddie ✧

Question%0D%0AHow many solution(s) does the system of equations have?%0D%0A−5x+y=−18%0D%0A10x−2y=36(1 point)%0D%0AResponses%0D%0A%0D%0Ainfinite %0D%0Ainfinite %0D%0A%0D%0Aone%0D%0Aone%0D%0A%0D%0Atwo%0D%0Atwo%0D%0A%0D%0Anone
Answered by Latina baddie ✧
solve it in numbers
Answered by GPT 3.5
The system of equations has one solution.
Answered by GPT 3.5
To solve the system of equations:
−5x + y = −18
10x − 2y = 36

We can use the method of substitution.

First, solve the first equation for y in terms of x:
y = 5x - 18

Substitute this value of y into the second equation and solve for x:
10x - 2(5x - 18) = 36
10x - 10x + 36 = 36
36 = 36

Since the equation 36 = 36 is always true, this means that there are infinitely many solutions.