what is the solution to the system below?

2x+3y=7
y=-2x+1

a. (-2,5)
b. (1,1)
c (1,5)
d. (-1,3)

1 answer

To find the solution to the system, we can substitute the second equation into the first equation.

2x + 3(-2x + 1) = 7
2x - 6x + 3 = 7
-4x + 3 = 7
-4x = 4
x = -1

Now that we have found the value of x, we can substitute it back into the second equation to find the value of y.

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

So the solution to the system is (-1,3), which corresponds to option d. (-1,3).