Amanashidn
Answered

Get detailed and reliable answers to your questions on IDNLearn.com. Ask your questions and get detailed, reliable answers from our community of experienced experts.

Q3). 0.4x + 0.3y = 1.7
0.7x - 0.2y = 0.8
Solve it by using substitution method.​

Q3 04x 03y 17 07x 02y 08Solve It By Using Substitution Method class=

Sagot :

DᴀʀᴋPᴀʀᴀᴅᴏxidn

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

The values of :

  • [tex]x = 2[/tex]

  • [tex]y = 3[/tex]

The given equations are :

  • [tex]0.4x + 0.3y = 1.7[/tex]

  • [tex]0.7x - 0.2y = 0.8[/tex]

now, let's multiply both the equations with 10 on both sides.

so, now our equations will be :

  • [tex]4x + 3y = 17[/tex]

  • [tex]7x - 2y = 8[/tex]

from Equation second :

  • [tex]7x - 2y = 8[/tex]

  • [tex]2y = 7x - 8[/tex]

  • [tex]y = \dfrac{7x - 8}{2} [/tex]

now, let's substitute the value of y from here into Equation first.

  • [tex]4x + 3y = 17[/tex]

  • [tex]4x +3 \bigg ( \dfrac{7x - 8}{2} \bigg) = 17[/tex]

  • [tex]4x + \dfrac{21x - 24}{2} = 17[/tex]

  • [tex] \dfrac{8x + 21x - 24}{2} = 17[/tex]

  • [tex] \dfrac{ 29x - 24 }{2} = 17[/tex]

  • [tex]29x - 24 = 34[/tex]

  • [tex]29x = 34 + 24[/tex]

  • [tex]29x = 58[/tex]

  • [tex]x = \dfrac{58}{29} [/tex]

  • [tex]x = 2[/tex]

here, we got the value of x = 2, let's plug it in equation second to find value of y :

  • [tex]7x - 2y = 8[/tex]

  • [tex]7(2) - 2y = 8[/tex]

  • [tex]14 - 2y = 8[/tex]

  • [tex]2y = 14 - 8[/tex]

  • [tex]2y = 6[/tex]

  • [tex]y = \dfrac{6}{2} [/tex]

  • [tex]y = 3[/tex]

And value of y = 3

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.