Final answer:
To solve the system of equations t=51x^2-44x+5 and vy=9x^2-3x algebraically, set the two equations equal to each other, combine like terms, solve for x, and substitute back to find t or vy.
Step-by-step explanation:
To solve the system of equations t=51x^2-44x+5 and vy=9x^2-3x algebraically, we can set the two equations equal to each other since the left sides are both equal to t. So, 51x^2-44x+5 = 9x^2-3x. We can then combine like terms and rearrange the equation to solve for x. After finding the value of x, we can substitute it back into either of the original equations to find the value of t or vy.
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