Respuesta :
(–3, 5) satisfies both the equation 6x+ 5y = 7 and the equation x +4y = 17.
Given that
Betty correctly determined that the ordered pair (–3, 5) is a solution to the system of linear equations 6 x + 5 y = 7 and x + 4y = 17.
We have to determine
Based on this information, which statement is correct?
According to the question
If a system of equations of two variables has a single solution (x, y), then both equations must be satisfied for x and y.
We are given the system:
6 x + 5 y = 7
x + 4y = 17
The ordered pair (–3, 5) is a solution to the system of linear equations.
[tex]=\rm 6x +5y=17\\\\6\times (-3) + 5 \times 5 \\\\ =-18 + 25 = 7\\\\ And\\\\ x+4y = 7 \ -3 + 4\times 5\\\\ -3+20 \\\\ = 17[/tex]
Hence, (–3, 5) satisfies both the equation 6x+ 5y = 7 and the equation x +4y = 17.
To know more about System of Equation click the link given below.
https://brainly.com/question/26298505
