Respuesta :

Answer:

the cost of the table is [tex]\$165[/tex]

the cost of the chair is [tex]\$125[/tex]

Step-by-step explanation:

Let

x-----> the cost of the table

y----> the cost of the chair

we know that

[tex]2x+3y=705[/tex] -----> equation A

[tex]x=y+40[/tex] -----> equation B

substitute equation B in equation A

[tex]2(y+40)+3y=705[/tex]

[tex]2y+80+3y=705[/tex]

[tex]5y=705-80[/tex]

[tex]y=625/5[/tex]

[tex]y=\$125[/tex]

Find the value of x

[tex]x=y+40[/tex]  ----> [tex]x=125+40=\$165[/tex]

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