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3 years ago

HELP PLEASE :) * giving brainliest*

Mathematics

2 answers:

Molodets [167]3 years ago

8 0

Answer:

(2,16)

Step-by-step explanation:

Step 1: Substitute -x+18 for y in y=8x:

-x+18=8x Add X to both sides

9x=18 Divide 9 by both sides

x=2

y=8(2)Plug in the new value for x(which is 2) into one of the equations

y=16

(2,16)

Hope this helped, good luck!

Inessa05 [86]3 years ago

5 0

Answer:

(2,16)

Step-by-step explanation:

y=-x+18

y=8x

8x=-x+18

8x+x=9x

-x+x=0

9x=18

9x/9=x

18/9=2

x=2

y=8(2)

y=16

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Determine the equation of the joint value

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$\bf \qquad \textit{direct proportional variation}\\\\
\begin{array}{cccccclllll}
\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
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&& y={{ k }}x
\end{array}\\\\
-----------------------------\\\\$

$\bf \textit{x varies directly with y and z}\implies x=\underline{k}yz\qquad \underline{k}=
\begin{array}{llll}
constant\ of\\
variation
\end{array}
\\\\\\
\textit{we also know that }
\begin{cases}
x=120\\
y=5\\
z=8
\end{cases}\implies 120=k(5)(8)\implies \cfrac{120}{5\cdot 8}=k
\\\\\\
\boxed{3=k}\qquad thus\implies x=\underline{3}yz
\\\\\\
\textit{now what's "x" when }
\begin{cases}
y=6\\
z=2
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