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Solve the system by substitution.
−4.5x−2y=−12.5
3.25x−y=−0.75
To solve this system by substitution, we will solve one equation for one variable and then substitute that expression into the other equation.
Let's solve the second equation for y:
3.25x - y = -0.75
y = 3.25x + 0.75
Now, substitute this expression for y in the first equation:
-4.5x - 2(3.25x + 0.75) = -12.5
Simplify:
-4.5x - 6.5x - 1.5 = -12.5
Combine like terms:
-11.0x - 1.5 = -12.5
Add 1.5 to both sides:
-11.0x = -11.0
Divide both sides by -11.0:
x = 1.0
Now substitute the value of x back into the second equation to find y:
y = 3.25(1.0) + 0.75
y = 3.25 + 0.75
y = 4.0
Therefore, the solution to the system is x = 1.0 and y = 4.0.