{:[12 t=4v-3],[-6t=4v+6]:} If (t,v) is the solution to the system of equations, what is the value of t-v ?

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{:[12 t=4v-3],[-6t=4v+6]:} If  (t,v) is the solution to the system of equations, what is the value of  t-v ?

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Write System Equations: Write down the system of equations. We have the following system of equations: 12t = 4v - 3 -6t = 4v + 6 We need to find the value of t - v.Solve First Equation for t: Solve the first equation for t. From the first equation, we can solve for t by dividing both sides by 12: t = (4v - 3) / 12Solve Second Equation for t: Solve the second equation for t. From the second equation, we can solve for t by dividing both sides by -6: t = (4v + 6) / -6Set Expressions Equal: Set the expressions for t from both equations equal to each other. Since both expressions are equal to t, we can set them equal to each other: (4v - 3) / 12 = (4v + 6) / -6Cross-Multiply for v: Cross-multiply to solve for v. Cross-multiplying gives us: -6(4v - 3) = 12(4v + 6) -24v + 18 = 48v + 72Combine Like Terms: Combine like terms and solve for v. Add 24v to both sides and subtract 72 from both sides: -24v + 24v + 18 = 48v + 24v + 72 - 72 18 = 72v Divide both sides by 72: v = 18 / 72 v = 1 / 4Substitute for t: Substitute the value of v back into one of the original equations to solve for t. Let's use the first equation: 12t = 4(1/4) - 3 12t = 1 - 3 12t = -2 Divide both sides by 12: t = -2 / 12 t = -1 / 6Calculate t - v: Calculate t - v. t - v = (-1/6) - (1/4) To subtract these fractions, find a common denominator, which is 12: t - v = (-2/12) - (3/12) t - v = -5/12

$\begin{array}{l} 12 t=4 v-3 \\ -6 t=4 v+6 \end{array}$ $\newline$ If $(t, v)$ is the solution to the system of equations, what is the value of $t-v$ ?

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12t=4v−3−6t=4v+6 \begin{array}{l} 12 t=4 v-3 \\ -6 t=4 v+6 \end{array} 12t=4v−3−6t=4v+6​\newlineIf (t,v) (t, v) (t,v) is the solution to the system of equations, what is the value of t−v t-v t−v ?

$\begin{array}{l} 12 t=4 v-3 \\ -6 t=4 v+6 \end{array}$ $\newline$ If $(t, v)$ is the solution to the system of equations, what is the value of $t-v$ ?