Thalia13idn
Answered

Sumali sa IDNStudy.com at makakuha ng mabilis at maaasahang mga sagot. Magtanong at makakuha ng detalyadong sagot mula sa aming komunidad ng mga eksperto na may kaalaman.

the sum of two numbers is 35. twice the first number is five less than the second number. find the numbers.

I really need the answer with solution. Hoping that you can help me. thank you☺️​

Sagot :

AGboiiidn

[tex] \large\underline \bold{{SOLUTION}}[/tex]

[tex]\textsf{\small{Let x be the first number and y be the second}}[/tex]

[tex]\textsf{Solving the System of Linear Equation}[/tex][tex]\textsf{By Substitution}[/tex]

[tex]\sf{x+y=35\implies\boxed{\sf{x=35-y}}}[/tex]

[tex]\sf{2x=y-5}[/tex]

[tex]\textrm{\small{\underline{Substitute the first equation to the second one}}}[/tex]

[tex]\longmapsto\sf{2x=y-5}[/tex]

[tex]\longmapsto\sf{2(35-y)=y-5}[/tex]

[tex]\longmapsto\sf{70-2y=y-5}[/tex]

[tex]\longmapsto\sf{70+5=y+2y}[/tex]

[tex]\longmapsto\sf{75=3y}[/tex]

[tex]\longmapsto\boxed{\sf{25=y}}[/tex]

[tex]\textsf{Substitute again}[/tex]

[tex]\rm{x+y=35}[/tex]

[tex]\rm{x+25=35}[/tex]

[tex]\rm{x=35-25}[/tex]

[tex]\boxed{\rm{x=10}}[/tex]

[tex] \large\underline{ \bold{ANSWER}}[/tex]

  • [tex]\text{The numbers are 10 and 25}[/tex]