Solve the following system of equations using substitution. What is the value of y? 2x + 3y = 105 x + 2y = 65 (1 point) Responses 15 15 25 25 40 40 65
To solve this system of equations using substitution, we can solve one equation for one variable and then substitute that expression into the other equation.
Let's solve the second equation for x:
x + 2y = 65
x = 65 - 2y
Now substitute this expression for x in the first equation:
2x + 3y = 105
2(65 - 2y) + 3y = 105
130 - 4y + 3y = 105
130 - y = 105
-y = 105 - 130
-y = -25
Now multiply both sides by -1 to solve for y:
y = (-25)(-1)
y = 25
Therefore, the value of y is 25.