{:[1.5 a-4.5 b=3(a+b)],[5.5 b=5(b-a)+2.5 a]:} If (a,b) is the solution to the system of equations, then what is the value of b-a ?

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{:[1.5 a-4.5 b=3(a+b)],[5.5 b=5(b-a)+2.5 a]:} If  (a,b) is the solution to the system of equations, then what is the value of  b-a ?

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Write System Equations: Write down the system of equations. We have the following system of equations: 1.5a - 4.5b = 3(a + b) 5.5b = 5(b - a) + 2.5a We need to solve this system to find the values of a and b, and then calculate b - a.Simplify First Equation: Simplify the first equation. 1.5a - 4.5b = 3a + 3b Now, move all terms involving variables to one side and constants to the other side. 1.5a - 3a = 3b + 4.5b Combine like terms. -1.5a = 7.5b Now, divide both sides by -1.5 to solve for a. a = -5bSubstitute Value of a: Substitute the value of a from Step 2 into the second equation. 5.5b = 5(b - (-5b)) + 2.5(-5b) Simplify the equation by performing the operations. 5.5b = 5b + 25b - 12.5b Combine like terms. 5.5b = 17.5b - 12.5b 5.5b = 5b Now, subtract 5b from both sides. 0.5b = 0 Finally, divide both sides by 0.5 to solve for b. b = 0Calculate Value of a: Substitute the value of b back into the equation a = -5b from Step 2 to find the value of a. a = -5(0) a = 0Calculate b - a: Calculate b - a using the values of b and a found in Steps 3 and 4. b - a = 0 - 0 b - a = 0

$\begin{aligned} 1.5 a-4.5 b & =3(a+b) \\ 5.5 b & =5(b-a)+2.5 a \end{aligned}$ $\newline$ If $(a, b)$ is the solution to the system of equations, then what is the value of $b-a$ ?

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1.5a−4.5bamp;=3(a+b)5.5bamp;=5(b−a)+2.5a \begin{aligned} 1.5 a-4.5 b &amp; =3(a+b) \\ 5.5 b &amp; =5(b-a)+2.5 a \end{aligned} 1.5a−4.5b5.5b​amp;=3(a+b)amp;=5(b−a)+2.5a​\newlineIf (a,b) (a, b) (a,b) is the solution to the system of equations, then what is the value of b−a b-a b−a ?

$\begin{aligned} 1.5 a-4.5 b & =3(a+b) \\ 5.5 b & =5(b-a)+2.5 a \end{aligned}$ $\newline$ If $(a, b)$ is the solution to the system of equations, then what is the value of $b-a$ ?