Verified answer

[tex]y = 7 - 3x[/tex]

[tex]4.5x - y = - 3.5[/tex]

[tex]4.5x - (7 - 3x) = 3.5[/tex]

[tex]x = \frac{7}{15} [/tex]

[tex]y = 7 - 3 \times \frac{7}{15} [/tex]

[tex]y = \frac{28}{5} [/tex]