Let Maria scored x number of goals and Reid scored y number of goals. Then,
[tex]y=2x-4[/tex]The difference between Reid and Marry goals is 6. So,
[tex]y-x=6[/tex]Substitute the expression for y in the equation and solve for x.
[tex]\begin{gathered} 2x-4-x=6 \\ x=6+4 \\ =10 \end{gathered}[/tex]Substitute 10 for x in the equation y = 2x - 4 to obtain the value of y.
[tex]\begin{gathered} y=2\cdot10-4 \\ =20-4 \\ =16 \end{gathered}[/tex]So Mary scored 10 goals and Reid scored 16 goals.
