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]