By elimination, the system of equations, 9a - 3d = 3 and -3a + d = -1, has infinite solutions.
A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.
There are three methods that can be used to solve system of equations.
1. Elimination
2. Substitution
3. Graphing
Using the elimination method, given two equations in a and d, a variable should be eliminated by adding/subtracting the two equations.
Simplifying the first equation by dividing it by -3,
9a - 3d = 3 ⇒ -3a + d = -1 (equation 1)
-3a + d = -1 (equation 2)
Since the simplified equation of the first equation is the same as the second equation, then the two lines are exactly the same or overlapping.
Hence, the system of equations has infinite solutions.
Learn more about solving systems of equations by elimination here: https://brainly.com/question/28405823
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