3x + 2y = 7
–3x + 11 = y
(1 point)
Responses
(6, –3)
(6, –3)
(6, –7)
(6, –7)
negative four and nineteen over two
Image with alt text: negative four and nineteen over two
(5, –4)
To find the solution to the system of equations, we can substitute the second equation into the first equation.
Substituting -3x + 11 for y in the first equation:
3x + 2(-3x + 11) = 7
3x - 6x + 22 = 7
-3x + 22 = 7
-3x = -15
x = -15 / -3
x = 5
Now we can substitute x = 5 back into the second equation to find y:
-3(5) + 11 = y
-15 + 11 = y
y = -4
Therefore, the solution to the system of equations is (5, -4).