2x-15y=-10
-4x+5y=-30
solve for y
First, let's rewrite the two equations:
1) 2x - 15y = -10
2) -4x + 5y = -30
To solve for y, we'll use the method of substitution or elimination.
Let's first solve for y using substitution:
From equation 1) => 2x - 15y = -10
Rearrange:
2x + 10 = 15y
y = (2x + 10) / 15
Now, substitute y in the second equation (2) to solve for x:
-4x + 5((2x + 10) / 15) = -30
-4x + 10x/3 + 50/3 = -30
-12x + 10x + 50 = -90
-2x + 50 = -90
-2x = -140
x = 70
Now that we have the value of x, we can substitute it back into the equation we found for y earlier:
y = (2(70) + 10) / 15
y = (140 + 10) / 15
y = 150 / 15
y = 10
Therefore, the solution to the system of equations is x = 70 and y = 10.