[tex]x + y = 35[/tex]
[tex] \frac{2x + 3y}{3y} = \frac{3}{2} [/tex]
[tex]2(2x + 3y) = 3 \times 3y[/tex]
[tex]4x + 6y = 9y[/tex]
[tex]4x = 9y - 6y[/tex]
[tex]4x = 3y[/tex]
[tex]x = \frac{3y}{4} [/tex]
[tex] \frac{3y}{4} + y = 35 \: | \times 4[/tex]
[tex]3y + 4y = 140[/tex]
[tex]7y = 140[/tex]
[tex]y = \frac{140}{7} [/tex]
[tex]y = 20[/tex]
[tex]x = \frac{3y}{4} [/tex]
[tex]x = \frac{3 \times 20}{4} [/tex]
[tex]x = 3 \times 5[/tex]
[tex]x = 15[/tex]
