Answer:
C
Step-by-step explanation:
Here we can see this is a bit of an trial and error, let's go through the options individually.
To find whether the ordered pair satisfies the equation, we will substitute x and y into the equation. To have the ordered pair to satisfy the equation, the value must be 7.
A) Given x = -5 , y = 3,
[tex]-5x+3y= - 5(-5)+3(3)\\=25+9\\= 34\\34 \neq 7[/tex]
Therefore this pair does not satisfy the equation.
B) Given x = 2, y = -1,
[tex]-5x+3y = -5(2)+3(-1)\\= -10-3\\=-13\\-13 \neq 7[/tex]
Therefore this pair does not satisfy the equation.
C) Given x = 7, y = 14,
[tex]-5x+3y = -5(7)+3(14)\\= -35 + 42\\= 7[/tex]
Therefore this pair satisfy the equation.
D) Given x = -2, y =[tex]-\frac{13}{5}[/tex],
[tex]-5x+3y = -5(-2)+3(-\frac{13}{5} )\\=-10-\frac{39}{5} \\=-17.8 or -17\frac{4}{5} \\-17.8\neq 7[/tex]
Therefore this pair does not satisfy the equation.
