Which ordered pair is a solution of the equation?

7x-2y= -5

Answer:

Neither

Step-by-step explanation:

To check whether an ordered pair (a,b)(a,b)left parenthesis, a, comma, b, right parenthesis is a solution of an equation, substitute these values into the equation and determine if the resulting equality is true or false.

To check whether (\blue{1},\pink{5})(1,5)left parenthesis, start color #6495ed, 1, end color #6495ed, comma, start color #ff00af, 5, end color #ff00af, right parenthesis is a solution of the equation, let's substitute \blue{x}=\blue{1}x=1start color #6495ed, x, end color #6495ed, equals, start color #6495ed, 1, end color #6495ed and \pink{y}=\pink{5}y=5start color #ff00af, y, end color #ff00af, equals, start color #ff00af, 5, end color #ff00af into the equation:

\begin{aligned}7\blue{x}-2\pink{y}&=-5\\ 7\cdot\blue{1}-2\cdot\pink{5}&=-5\\ 7-10&=-5\\ -3&=-5\end{aligned}

7x−2y

7⋅1−2⋅5

7−10

−3

​

=−5

=−5

=−5

=−5

​

Since -3\neq-5−3



​

=−5minus, 3, does not equal, minus, 5, we obtained a false statement, so (1,5)(1,5)left parenthesis, 1, comma, 5, right parenthesis is not a solution of the equation.

Hint #33 / 4

To check whether (\blue{-1},\pink{1})(−1,1)left parenthesis, start color #6495ed, minus, 1, end color #6495ed, comma, start color #ff00af, 1, end color #ff00af, right parenthesis is a solution of the equation, let's substitute \blue{x}=\blue{-1}x=−1start color #6495ed, x, end color #6495ed, equals, start color #6495ed, minus, 1, end color #6495ed and \pink{y}=\pink{1}y=1start color #ff00af, y, end color #ff00af, equals, start color #ff00af, 1, end color #ff00af into the equation:

\begin{aligned}7\blue{x}-2\pink{y}&=-5\\ 7\cdot(\blue{-1})-2\cdot\pink{1}&=-5\\ -7-2&=-5\\ -9&=-5\end{aligned}

7x−2y

7⋅(−1)−2⋅1

−7−2

−9

​

=−5

=−5

=−5

=−5

​

Since -9\neq-5−9



​

=−5minus, 9, does not equal, minus, 5, we obtained a false statement, so (-1,1)(−1,1)left parenthesis, minus, 1, comma, 1, right parenthesis is not a solution of the equation.

Neither of the ordered pairs is a solution of the equation.

Neither of the ordered pairs (1, 5) and (-1, 1) is a solution to the equation 7x - 2y = -5. The correct option is 4.

An ordered pair is a pair of numbers that represents a point in a coordinate system. It is written in the form (x, y), where 'x' is the horizontal value (abscissa) and 'y' is the vertical value (ordinate). The order of the numbers is essential, as switching their positions creates a different point.

equation: 7x - 2y = -5

For (x = 1, y = 5):

7(1) - 2(5) = 7 - 10 = -3 (Not equal to -5).

(x = -1, y = 1):

7(-1) - 2(1) = -7 - 2 = -9 (Not equal to -5).

Since neither ordered pair satisfies the equation 7x - 2y = -5, the correct answer is 4. neither.

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The complete question is-Which ordered pair is a solution of the equation?

7x-2y= -5

1. only 1,5

2. only -1, 1

3. both 1,5 and -1,1

4. neither

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