Răspuns:
Dacă x + y = 8 şi y + 2z = 35
[tex]\bf a)~5x + 13y + 16z = 5x+5y+8y+16z=[/tex]
[tex]\bf 5\cdot(x+y)+8\cdot(y+2z)=5\cdot8+8\cdot35=[/tex]
[tex]\bf =40+280=\blue{\underline{~320~}}[/tex]
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[tex]\bf b)~ 3y-2x+10z=5y+10z-2y-2x=[/tex]
[tex]\bf 5\cdot (y+2z)-2\cdot(y+x)=5\cdot 35-2\cdot 8=[/tex]
[tex]\bf 175-16 = \pink{\underline{~159~}}[/tex]
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[tex]\bf c) ~~7x+10y+6z=7x+7y+3y+6z=[/tex]
[tex]\bf 7\cdot(x+y)+3\cdot(y+2z)=7\cdot 8+3\cdot 35=[/tex]
[tex]\bf 56+105=\purple{\underline{~161~}}[/tex]
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[tex]\bf d)~4\cdot(2z+y)+3x+3y =4\cdot(2z+y)+3\cdot(x+y)=[/tex]
[tex]\bf 4\cdot 35+3\cdot8=140+24=\red{\underline{~164~}}[/tex]
[tex]==pav38==[/tex]
