Question 1 what is the solution set for x + 6 > 2? {x: x > -8} {x: x > -4} {x: x > 4} {x: x > 8} question 13 how many solutions does the system 9x+y=3 over 9x-y=7 have? infinitely many none one none of the above question 17 solve the system 2x+3y=5 over 3x+2y=0 by substitution. (2, 3) (3, 2) (3, -2) (-2, 3)

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.

Step 2 ) Do Row2 - Row1 and put the value as the new row2.

Step 3 ) Simplify.

Step 4 ) Do Row1 - Row2 and put the value as the new Row1.

Step 5 ) Simplify.

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

Step 2 ) Place the value of x into 3x - 2y = 0.

3x - 2y = 0

3 ×

Step 3 ) Solve for y in the new equation.

3 ( 5 + 3y ) - 4y = 0

15 + 9y - 4y = 0

15 + 5y = 0

5y = -15

y = -3

Step 3 ) Place the value of y into the value of x.

x = -2

So, in 2x - 3y = 5 ; 3x - 2y = 0...

x = -2; y = -3

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- Marlon Nunez

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