Given that the expression is [tex]R=6x+5y[/tex]
We need to determine the value of y when [tex]x=7[/tex] and [tex]R=18[/tex]
Value of y:
The value of y can be determined by substituting [tex]x=7[/tex] and [tex]R=18[/tex]
Hence, substituting the values in the expression, we get;
[tex]18=6(7)+5y[/tex]
Simplifying the expression, we get;
[tex]18=42+5y[/tex]
Subtracting both sides by 42, we have;
[tex]18-42=5y[/tex]
[tex]-24=5y[/tex]
Dividing both sides by 5, we get;
[tex]-\frac{24}{5}=y[/tex]
Thus, the value of y is [tex]-\frac{24}{5}[/tex]