Solve the system using substitution.
y minus 2 x equals 3.
3 x minus 2 y equals 5.
(1 point)
Responses
the ordered pair (negative one-half, 2)
Image with alt text: the ordered pair (negative one-half, 2)
the ordered pair (2, 7)
Image with alt text: the ordered pair (2, 7)
the ordered pair (negative 8, negative 13)
Image with alt text: the ordered pair (negative 8, negative 13)
the ordered pair (negative 11, negative 19)
To solve the system using substitution, we need to solve one equation for one variable and substitute that expression into the second equation.
From the first equation, we have:
y - 2x = 3
Rearranging, we get:
y = 3 + 2x
Now substitute this expression for y in the second equation:
3x - 2(3 + 2x) = 5
Distribute:
3x - 6 - 4x = 5
Combine like terms:
-x - 6 = 5
Add 6 to both sides:
-x = 11
Divide by -1:
x = -11
Substitute this value of x back into the expression for y:
y = 3 + 2(-11)
y = 3 - 22
y = -19
Therefore, the ordered pair is (-11, -19), which is not listed as a response option.