solve the system by substitution
2.5x-3y=-13
{
3.25x-y=-14
First, solve one of the equations for one of the variables. Let's solve the first equation for x:
2.5x - 3y = -13
2.5x = 3y - 13
x = (3y - 13) / 2.5
Now, substitute this expression for x into the second equation:
3.25(3y - 13) / 2.5 - y = -14
9.75y - 42.25 / 2.5 - y = -14
3.9y - 16.9 - y = -14
2.9y - 16.9 = -14
2.9y = 2.9
y = 1
Now substitute y back into either of the original equations to solve for x. Using the first equation:
2.5x - 3(1) = -13
2.5x - 3 = -13
2.5x = -10
x = -4
Therefore, the solution to the system of equations is x = -4 and y = 1.