What is the value of y
2x+3y=105
x+2y=65
double the 2nd: 2x + 4y = 130
subtract the 1st:
y = 25
sub into one of the originals to get x
To find the value of y, we can use a method called elimination or substitution. Let's solve the system of equations using the elimination method.
First, we'll multiply the second equation by 2 to make the coefficients of y in both equations the same:
2(x + 2y) = 2(65)
2x + 4y = 130
Now we have two equations with the same coefficient for x, so we can subtract the equations to eliminate x:
(2x + 3y) - (2x + 4y) = 105 - 130
2x - 2x + 3y - 4y = -25
-y = -25
To solve for y, we can multiply both sides of the equation by -1 to get the positive value of y:
-y * (-1) = -25 * (-1)
y = 25
The value of y is 25.