Question 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 first isolate one variable in one of the equations.
Let's isolate x in the second equation:
x + 2y = 65
x = 65 - 2y
Now we substitute the value of x in the first equation with 65 - 2y:
2(65 - 2y) + 3y = 105
130 - 4y + 3y = 105
130 - y = 105
Rearranging this equation to solve for y, we subtract 130 from both sides:
-y = -25
Finally, we multiply both sides by -1 to find y:
y = 25
Therefore, the value of y is 25.