12t = 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: 1) 12t = 4v - 3 2) -6t = 4v + 6Solve First Equation for v: Solve the first equation for v. From the first equation, we can express v in terms of t: 12t = 4v - 3 Add 3 to both sides: 12t + 3 = 4v Divide both sides by 4: (12t + 3)/4 = v v = 3t + 3/4Substitute v into Second Equation: Substitute the expression for v from Step 2 into the second equation. We have v = 3t + 3/4, so we substitute this into the second equation: -6t = 4(3t + 3/4) + 6Distribute and Simplify: Distribute and simplify the second equation. -6t = 4(3t) + 4(3/4) + 6 -6t = 12t + 3 + 6 Combine like terms: -6t = 12t + 9Solve for t: Solve for t. Subtract 12t from both sides: -6t - 12t = 9 -18t = 9 Divide both sides by -18: t = 9 / -18 t = -1/2Substitute t into v Expression: Substitute t back into the expression for v from Step 2. v = 3t + 3/4 v = 3(-1/2) + 3/4 v = -3/2 + 3/4Combine Terms for v: Find a common denominator and combine the terms to solve for v. v = -6/4 + 3/4 v = (-6 + 3) / 4 v = -3/4Calculate t - v: Calculate t - v. t - v = (-1/2) - (-3/4) Find a common denominator: t - v = (-2/4) - (-3/4) t - v = -2/4 + 3/4 t - v = 1/4

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

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12t=4v−312t = 4v - 312t=4v−3\newline−6t=4v+6-6t = 4v + 6−6t=4v+6\newlineIf (t,v)(t, v)(t,v) is the solution to the system of equations, what is the value of t−vt - vt−v?

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