Solve the system by substitution show work. { - 4.5x - 2y = - 12.5 {3.25x - y = -0.75

To use the substitution method, you need to solve an equation for one variable.
Let's solve the second equation for y.

3.25X - Y = -0.75

Add Y to both sides.

3.25X = -0.75 + Y

Now add 0.75 to both sides.

3.25X + 0.75 = Y

Now that we know Y = 3.25X + 0.75, we replace Y in the first equation with 3.25X + 0.75 and solve for X.

First equation:

-4.5X - 2Y = -12.5

Substitute 3.25X + 0.75 for Y:

-4.5X - 2(3.25X + 0.75) = -12.5

-4.5X - 6.5X - 1.5 = -12.5

-11X - 1.5 = -12.5

-11X = -11

X = 1

Now we substitute X = 1 into the first original equation and solve for Y.

-4.5X - 2Y = -12.5

-4.5(1) - 2Y = -12.5

-4.5 - 2Y = -12.5

-2Y = -8

Y = 4

Solution: X = 1 and Y = 4