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-Dominant- [34]
3 years ago
11

Solve the system of equations using >>the Substitution Method<<

Mathematics
1 answer:
dolphi86 [110]3 years ago
6 0
HELLO...!!!

\begin{cases}&y=2x+4\\&3x+y=9\end{cases}


\underline{\textbf{Add\ "y"\ in\ Eq.\ 2:}}\\ \\3x+2x+4=9\\ \\5x+4=9\\ \\5x=9-4\\ \\5x=5\\ \\x= \dfrac{5}{5}\\ \\x=1\quad\checkmark\\ \\ \\\underline{\textbf{Add\ "x"\ in\ Eq.\ 1:}}\\ \\y=2(1)+4\\ \\y=2+4\\ \\y=6\quad\checkmark\\ \\ \\\mathbb{ANSWER:}\Longrightarrow\boxed{\boxed{\boldsymbol{x=1\ ;\ y=6}}}\\ \\ \\\textbf{HOPE\ THIS\ HELPS...!!}
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Answer:

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Step-by-step explanation:

Assuming the solid ball of iron is a sphere with a radius of 18 cm (or 0.18 m), we can compute the volume of the sphere:

V=\frac{4}{3}\pi r^3\\\\V=\frac{4}{3}\pi (\frac{18}{100})^3\\\\V=\frac{4}{3}\pi (0.005832)\\\\V=0.007776

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Since we know that density is mass/volume, then we can find the mass of the iron:

\rho=\frac{mass}{volume}\\ \\7800\: kg/m^3=\frac{mass}{0.007776\: m^3}\\\\mass=60.6528\:kg

Thus, the mass of the solid ball of iron is 60.6528 kg

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Step-by-step explanation:

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