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Mathematics
17.01.2022 05:50
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X+3y=6 and 4x-2y=32 Solve each system of equations

X+3y=6 and 4x-2y=32 Solve each system of equations
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babyari18
babyari18
4,8(88 marks)

x = 54/7 and y = -4/7

Step-by-step explanation:

x+3y=6

4x-2y=32

= 4 ( x+3y=6 )

= 4x +12y = 24 - 4x -2y = 32

=14y = -8

y = - 4/7

X + 3(-4/7) = 6

x+-12/7 = 6

x = 54/7

Reggie7079
Reggie7079
4,9(80 marks)

x = 54/7 y= -4/7

Step-by-step explanation:

raizagisselle1694
raizagisselle1694
4,6(60 marks)
Digram:

\\\\\\\\

\setlength{\unitlength}{0.74 cm}\begin{picture}\thicklines\put(5.6,5.4){\bf A}\put(11.1,5.4){\bf B}\put(11.2,9){\bf C}\put(5.3,8.6){\bf D}\put(3.3,10.2){\bf E}\put(3.3,7){\bf F}\put(9.25,10.35){\bf H}\put(9.35,7.35){\bf G}\put(3.5,6.1){\sf 1\:foot}\put(7.7,6.3){\sf 2\:feet}\put(11.3,7.45){\sf 8\:feet}\put(6,6){\line(1,0){5}}\put(6,9){\line(1,0){5}}\put(11,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\put(4,7.3){\line(1,0){5}}\put(4,10.3){\line(1,0){5}}\put(9,10.3){\line(0,-1){3}}\put(4,7.3){\line(0,1){3}}\put(6,6){\line(-3,2){2}}\put(6,9){\line(-3,2){2}}\put(11,9){\line(-3,2){2}}\put(11,6){\line(-3,2){2}}\end{picture}

\\\\\\\\

Given:

⇢ Length = 1 foot

⇢ width = 2 feet

⇢ height = 8 feet

\\ \\

To find:

⇢ Volume of the book case

\\ \\

Solution:

By seeing the dimensions we came to know that book case is in the shape of cuboid.

\\ \\

know as we know volume of cuboid is :-

\\ \\

\bigstar \boxed{ \rm{}Volume \: of \: cuboid = length \times width \times height}

\\

By using this formula we can find value of volume of cuboid.

so:

\\

: \implies \sf{}Volume \: of \: cuboid = length \times width \times height \\ \\

\\

: \implies \sf{}Volume \: of \: cuboid = 1 \times 2 \times 8 \\ \\

\\

: \implies \boxed{\frak{Volume \: of \: cuboid = 16} } \bigstar\\ \\

\\ \\

\therefore \underline \textsf{volume of cuboid is \textbf{16 feet}}

\\\\\\\\

know more

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\begin{array}{|c|c|c|}\cline{1-3}\bf Shape&\bf Volume\ formula&\bf Surface\ area formula\\\cline{1-3}\sf Cube&\tt l^3}&\tt 6l^2\\\cline{1-3}\sf Cuboid&\tt lbh&\tt 2(lb+bh+lh)\\\cline{1-3}\sf Cylinder&\tt {\pi}r^2h&\tt 2\pi{r}(r+h)\\\cline{1-3}\sf Hollow\ cylinder&\tt \pi{h}(R^2-r^2)&\tt 2\pi{rh}+2\pi{Rh}+2\pi(R^2-r^2)\\\cline{1-3}\sf Cone&\tt 1/3\ \pi{r^2}h&\tt \pi{r}(r+s)\\\cline{1-3}\sf Sphere&\tt 4/3\ \pi{r}^3&\tt 4\pi{r}^2\\\cline{1-3}\sf Hemisphere&\tt 2/3\ \pi{r^3}&\tt 3\pi{r}^2\\\cline{1-3}\end{array}

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