Answer:
Tyler's first step in solving the system by substitution is to isolate x in the first equation, which is x + 3y = -5. To do this, he subtracts 3y from both sides of the equation, resulting in x = -5 - 3y.
Han's first step in solving the system by substitution is to isolate 3y in the first equation. To do this, he subtracts x from both sides of the equation, resulting in 3y = -5 - x.
Both first steps can be used to solve the system and will yield the same solution because they both involve isolating a variable on one side of the equation. In Tyler's first step, he isolates x, while in Han's first step, he isolates 3y. However, the resulting equations, x = -5 - 3y and 3y = -5 - x, are equivalent.
To solve the system using these first steps, we can substitute the expression for x from Tyler's step into the second equation, which is 9x + 3y = 3. Substituting x = -5 - 3y into the second equation gives us:
9(-5 - 3y) + 3y = 3
Simplifying this equation will yield the same solution as substituting Han's step into the second equation.
Explanation:
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