Answer :

y = 2/3x+5 (eq. 1)

7x - 3y = 15 (eq. 2)

Substituting equation 1 into equation 2,

[tex]\begin{gathered} 7x-3(\frac{2}{3}x+5)=15 \\ 7x-3\cdot\frac{2}{3}x+3\cdot5=15 \\ 7x-2x+15=15 \\ 5x+15=15 \\ 5x=15-15 \\ 5x=0 \\ x=\frac{0}{5} \\ x=0 \end{gathered}[/tex]

Replacing this result into equation 1,

[tex]\begin{gathered} y=\frac{2}{3}\cdot0+5 \\ y=5 \end{gathered}[/tex]

The answer is (0,5)

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