Respuesta :
QUESTION 1
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Step 1 ) Subtract 6 from both sides.
x + 6 > 2
x + 6 - 6 > 2 - 6
x > -4
So, the best solution to the equation x + 6 > 2 would be...
B ) x > -4
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QUESTION 13
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Solved using matrix.
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Step 1 ) Rewrite as matrix.
[tex] \left[\begin{array}{ccc}9&1&3\\9&-1&7\end{array}\right] [/tex]
Step 2 ) Do Row2 - Row1 and put the value as the new row2.
[tex] \left[\begin{array}{ccc}9&1&3\\9&-1&7\end{array}\right] [/tex]
[tex] \left[\begin{array}{ccc}9&1&3\\0&-2&4\end{array}\right] [/tex]
Step 3 ) Simplify.
[tex] \left[\begin{array}{ccc}9&1&3\\0&-2&4\end{array}\right] [/tex]
[tex] \left[\begin{array}{ccc}9&1&3\\0&1&-2\end{array}\right] [/tex]
Step 4 ) Do Row1 - Row2 and put the value as the new Row1.
[tex] \left[\begin{array}{ccc}9&1&3\\0&1&-2\end{array}\right] [/tex]
[tex] \left[\begin{array}{ccc}9&0&5\\0&1&-2\end{array}\right] [/tex]
Step 5 ) Simplify.
[tex] \left[\begin{array}{ccc}9&0&5\\0&1&-2\end{array}\right] [/tex]
[tex] \left[\begin{array}{ccc}1&0&\frac{5}{9}\\0&1&-2\end{array}\right] [/tex]
So, since the solution is x equals 5 over 9 and y equals -2, the amount of solutions is...
C ) One
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QUESTION 17
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Step 1 ) Solve for x in 2x - 3y = 5.
2x - 3y = 5
2x - 3y + 3y = 5 + 3y
2x = 5 + 3y
[tex] \displaystyle\frac{2x}{2} = \frac{5 + 3y}{2} [/tex]
[tex] \displaystyle\ x = \frac{5+3y}{2} [/tex]
Step 2 ) Place the value of x into 3x - 2y = 0.
3x - 2y = 0
3 × [tex] \displaystyle\frac{5+3y}{2} -2y=0 [/tex]
[tex] \displaystyle\frac{3(5+3y)}{2} -2y=0 [/tex]
Step 3 ) Solve for y in the new equation.
[tex] \displaystyle\frac{3(5+3y)}{2} -2y=0 [/tex]
3 ( 5 + 3y ) - 4y = 0
15 + 9y - 4y = 0
15 + 5y = 0
5y = -15
[tex] \displaystyle\frac{5y}{5} = \frac{-15}{5} [/tex]
[tex] \displaystyle\ y = -\frac{15}{5} [/tex]
y = -3
Step 3 ) Place the value of y into the value of x.
[tex] \displaystyle\ x = \frac{5 + 3y}{2} [/tex]
[tex] \displaystyle\ x = \frac{5 + 3 * -3}{2} [/tex]
x = -2
So, in 2x - 3y = 5 ; 3x - 2y = 0...
x = -2; y = -3
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- Marlon Nunez
