The polynomial remainder theorem says that dividing a polynomial by
leaves a remainder of
if
is a factor of
. In this case, check
and
.
From the first equation,
and substituting into the second gives
In a relay race, each runner completes the circuit 9 seconds faster than the previous one. If the first athlete runs his lap in
1 answer:
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Given the system of equations:
To solve it by substitution, follow the steps below.
Step 1: Solve one linear equation for x in terms of y.
Let's choose the second equation. To solve it for x, add 3y to each side of the equations.
Step 2: Substitute the expression found for x in the first equation.
Step 3: Isolate y in the equation found in step 2.
To do it, first, add 48 to both sides.
Then, divide both sides by 15.
Step 4: Substitute y by 5 in the relation found in step 1 to find x.
Answer:
x = -9
y = 5
or (-9, 5)
Also, you can graph the lines by choosing two points from each equation, according to the picture below.
