Question

Which ordered pair is a solution of the equation? y=-2x+5y=−2x+5y, equals, minus, 2, x, plus, 5 Choose 1 answer: Choose 1 answer: (Choice A) A Only (2,-9)(2,−9)left parenthesis, 2, comma, minus, 9, right parenthesis (Choice B) B Only (-2,9)(−2,9)left parenthesis, minus, 2, comma, 9, right parenthesis (Choice C) C Both (2,-9)(2,−9)left parenthesis, 2, comma, minus, 9, right parenthesis and (-2,9)(−2,9)left parenthesis, minus, 2, comma, 9, right parenthesis (Choice D) D Neither

Answer 1

Answer:

Given the algebraic expression

Given the algebraic expression2 (a -3) + 4 b - 2 (a - b - 3) + 5

Given the algebraic expression2 (a -3) + 4 b - 2 (a - b - 3) + 5Multiply factors.

Given the algebraic expression2 (a -3) + 4 b - 2 (a - b - 3) + 5Multiply factors.= 2 a - 6 + 4 b - 2 a + 2 b + 6 + 5

Given the algebraic expression2 (a -3) + 4 b - 2 (a - b - 3) + 5Multiply factors.= 2 a - 6 + 4 b - 2 a + 2 b + 6 + 5Group like terms.

Given the algebraic expression2 (a -3) + 4 b - 2 (a - b - 3) + 5Multiply factors.= 2 a - 6 + 4 b - 2 a + 2 b + 6 + 5Group like terms.=6

Answer 2

SOLUTION

CORRECT QUESTION

Which ordered pair is a solution of the equation y = - 2x + 5

A. (2,−9)

B. (−2,9)

C. ( - 2,−9)

D. Neither

EVALUATION

Here the given equation of the line is

y = - 2x + 5 - - - - - (1)

CHECKING FOR OPTION : A

Putting x = 2 , y = - 9 in both sides of Equation 1 we get

- 9 = - ( 2 × 2 ) + 5

⇒ - 9 = - 4 + 5

⇒ - 9 = 1

Which is not true

So ( 2,-9) does not lie on the line

So this option is not correct

CHECKING FOR OPTION : B

Putting x = - 2 , y = 9 in both sides of Equation 1 we get

9 = - ( 2 × - 2 ) + 5

⇒ 9 = 4 + 5

⇒ 9 = 9

Which is true

So ( - 2,9) lies on the line

So this option is correct

CHECKING FOR OPTION : C

Putting x = - 2 , y = - 9 in both sides of Equation 1 we get

- 9 = - ( 2 × - 2 ) + 5

⇒ - 9 = 4 + 5

⇒ - 9 = 9

Which is not true

So ( - 2,-9) does not lie on the line

So this option is not correct

FINAL ANSWER

Hence the correct option is B. (−2,9)

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