Let's use the "elimination by addition/subtraction" method to solve this system for x and y.
<span> -8x=72-16y
4x=-92+16y <= Mult. all 3 terms by 2: 8x = - 184 + 32y
Now combine the following, column by column:
</span><span> -8x= 72-16y
</span>8x = - 184 + 32y
-----------------------
0 = -112 + 16y. Solving for y, 16y = 112, and y = 7.
Now subst. 7 for y in either of the original equations and calculate x:
<span>4x=-92+16(7) => 4x = -92 + 112 = 20. Then x = 5.
Solution is 5, -7 (or, better written) (5, - 7).</span>
First we divide 102 by 12.75 to get the hours which is 8 hours. So it would take 8 hours
Answer:
<h3>
</h3>
Step-by-step explanation:
Let the points be A and B
A ( -5 , 1 ) ⇒( x₁ , y₁ )
B ( 2 , 4 )⇒( x₂ , y₂ )
<u>Findi</u><u>n</u><u>g</u><u> </u><u>the </u><u>slope</u><u> </u><u>of </u><u>the </u><u>line </u><u>passing </u><u>through</u><u> </u><u>these </u><u>Points</u>
Slope =
plug the values
⇒
We know that
⇒
Subtract 1 from 4
⇒
Add the numbers
⇒
Hope I helped!
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Answer:
Step-by-step explanation:
Group like terms:
Simplify the arithmetic:
Add 7 to both sides:
Simplify the arithmetic:
Simplify the arithmetic:
Divide both sides by 3:
Simplify the fraction:
Find the greatest common factor of the numerator and denominator:
Factor out and cancel the greatest common factor and the answer will be: