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{2y=x+6{3x=y+7I just need to find the ordered paid

Sagot :

Let:

[tex]\begin{gathered} 2y=x+6_{\text{ }}(1) \\ 3x=y+7_{\text{ }}(2) \end{gathered}[/tex]

From (1) solve for y:

[tex]y=\frac{x+6}{2}_{\text{ }}(3)[/tex]

Replace (3) into (2):

[tex]3x=\frac{x+6}{2}+7[/tex]

Solve for x:

[tex]\begin{gathered} 6x=x+6+14 \\ 6x-x=20 \\ 5x=20 \\ x=\frac{20}{5} \\ x=4 \end{gathered}[/tex]

Replace x into (3):

[tex]\begin{gathered} y=\frac{4+6}{2} \\ y=\frac{10}{2} \\ y=5 \end{gathered}[/tex]

Answer:

x = 4

y = 5

or

(4,5)