3 years ago

When using the substitution method for solving a system of linear equations in two variables, what should be the first step?

1 answer:

8 0

The first step would be to isolate a variable (solve for a variable)....so u will have something to sub into the other equation

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Yanka [14]

Let d be initial distance the man is from the lamp.
Let x(t) be length of shadow at time t.
The distance traveled is speed*time or 2.8t.

Now set up a proportion between 2 triangles.
One formed by end of shadow and top/bottom of lamp.
Small one formed by end of shadow and top/bottom of man.

$\frac{d+2.8t+x(t)}{x(t)} = \frac{5}{1.2} \\ \\ x(t) = 0.88t +0.32 d$

Take derivative to find rate that x(t) is increasing.
$\frac{dx}{dt} = 0.88$