Betty correctly determined that the ordered pair (–3, 5) is a solution to the system of linear equations and x + 4y = 17. Based on this information, which statement is correct? (–3, 5) satisfies neither the equation 6x + 5y = 7 nor the equation x + 4y = 17. (–3, 5) satisfies the equation 6x + 5y = 7 but not the equation x + 4y = 17. (–3, 5) satisfies the equation x + 4y = 17 but not the equation 6x + 5y = 7. (–3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.

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Brendan1222 Brendan1222 · Answer 1 · 2017-05-08T18:04:16+02:00

5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17 <-----answer

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kudzordzifrancis kudzordzifrancis · Answer 2 · 2019-02-09T16:53:03+01:00

Answer:

D. (–3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.

Step-by-step explanation:

The given equations are:

[tex]6x +5y=7[/tex]

and

[tex]x+4y=17[/tex]

Betty correctly determined that the ordered pair [tex](-3,5)[/tex] is a solution by substituting it into both equations.

Betty's work will look like this;

First Equation:

[tex]6(-3) +5(5)=7[/tex]

[tex]-18 +25=7[/tex]

This statement is True.

Second equation;

[tex]-3+4(5)=17[/tex]

[tex]-3+20=17[/tex]

This is also TRUE

Hence the correct answer is

D. (–3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.