Answered

IDNLearn.com is your go-to platform for finding reliable answers quickly. Ask anything and receive thorough, reliable answers from our community of experienced professionals.

solve the following ​

Solve The Following class=

Sagot :

Spaceidn

Answer:

[tex]x=2, \ y=1[/tex]

Step-by-step explanation:

[tex]\displaystyle \left \{ {{\text{Equation I:} \ \ 2x+y =5} \atop {\text{ Equation II:} \ \ 3x-2y=4}} \right.[/tex]

Multiply [tex]\text{Equation I}[/tex] by 2.

  • [tex]2 \ \Big{[}2x+y=5\Big{]}[/tex]  
  • [tex]4x+2y=10[/tex]

Now we have this system of equations:

  • [tex]\displaystyle \left \{ {{4x+2y =10} \atop {3x-2y=4}} \right.[/tex]

We can add the equations together to cancel out y.

  • [tex]7x=14[/tex]
  • [tex]x=2[/tex]

Substitute x = 2 into the first equation and solve for y.

  • [tex]2(2)+y=5[/tex]
  • [tex]4+y=5[/tex]
  • [tex]y=1[/tex]

The solution to this system of equations is:

  • [tex]x=2, \ y=1[/tex]
  • or [tex](2, \ 1)[/tex]
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.