MareSantiagoidn
Answered

IDNStudy.com, ang iyong destinasyon para sa malinaw na mga sagot. Ang aming komunidad ay narito upang magbigay ng detalyadong sagot sa lahat ng iyong mga katanungan.

Draw the graph of this system of linear equation in two variables.

4x-y=2 and y=4x +1​

Sagot :

[tex]\color{red}\underline { \huge{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]

[tex]\underline{\mathbb{SOLUTION}:} [/tex]

[tex]\sf \normalsize\:{ \: Determine \: the \: x- \: and \: y-intercept \: of \: \red{4x - y = 2}}[/tex]

[tex] \sf \: To \: determine \: the \: x - intercept, \: let \: y = 0 \:, then \: solve \: for \: the \: value \: of \: x . [/tex]

[tex]\sf \: 4x - y = 2[/tex]

  • [tex] \sf \: 4x - 0 = 2[/tex]
  • [tex] \sf \: 4x = 2[/tex]
  • [tex] \large \sf \: \frac{4x}{4} = \frac{2}{4} [/tex]
  • [tex] { \sf{x = \frac{2}{4} }} \: \sf \small{ or }\: \sf{ \normalsize \: { \frac{1}{2} }} \: \small{ or} \: \small \green{0.5}[/tex]

[tex]\therefore \sf \normalsize\: { As \: an \: ordered \: pair \: , it \: is \: written \: as \: \green { (0.5 , 0)}}[/tex]

==== ==== ==== ==== ==== ==== ==== ==== ====

[tex]\sf \: To \: determine \: the \: y- intercept, \: let \: x = 0 \:, then \: solve \: for \: the \: value \: of \: y . [/tex]

[tex]\sf \: 4x - y = 2[/tex]

  • [tex] \sf \: 4(0) - y = 2[/tex]
  • [tex] \sf \: 0 - y = 2[/tex]
  • [tex] \sf \: - y = 2[/tex]
  • [tex] \large \sf \: \frac{ - y}{ - 1} = \frac{2}{1} [/tex]
  • [tex] \sf \green {y = - 2}[/tex]

[tex]\therefore \sf \normalsize\: { As \: an \: ordered \: pair \: , it \: is \: written \: as \: \green{ (0 , - 2)}}[/tex]

==== ==== ==== ==== ==== ==== ==== ==== ====

[tex] \sf \: On \: a \: cartesian \: plane, \: plot \: the \: points \: (0.5, 0) \: and (0,-2) \\ \sf Connect \: them \: to \: form \: the \: graph \: of \: 4x-y=2 [/tex]

[tex] \sf \: Determine \: the \: slope \: and \: the \: point \: on \: the \: line \: of \: y=4x+1. \\ \sf \: In \: the \: case, \: the \: slope \: (m) \: is \: 4. The \: slope \: can \: also \: be \: written \\ \sf \: \frac{rise}{run} , \: Hence, \: \frac{rise}{run} = \frac{4}{1}. \: The \: y-intercept \: (b) \: is \: 1. \: \\ \sf \: It \: is \: considered \: as \: the \: point \: on \: the \: line.[/tex]

[tex] \sf On \: the \: same \: cartesian \: plane, \: locate \: (0,1) \: which \: is \: the \: y-intercept. \\ \sf Use \:m=\frac{rise}{run} = \sf \: \frac{4}{1} . From \: (0,1) , \: count \:4 \: steps \: up \: for \: the \: 'rise' . \\ \sf \: This \: will \: lead \: us \: to \: (0,5). \: From \: (0,5), \: \: count \: one \: step \: to \sf the \: right \: for \: the \: 'run'. \: \\ \sf \: This \: will \: lead \: \: us \: to \: (1,5). \sf \: Connect \: \green{(0,1)} \: and \: \green{(1,5)} \: to \: form \: the \: graph of \: y=4x+1[/tex]

[tex] \sf \: The \: graph \: shows \: us \: parallel \: lines. \: Since \: the \: \: two \: lines \: did \: not \: intersect, \\ \sf there \: is \: no \: solution. \: This \: graph \: shows \: us \: an \: inconsistent.[/tex]

[tex]\color{red}\underline { \huge{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]

#CarryOnLearning

૮₍ ˃ ⤙ ˂ ₎ა

View image Аноним
Maraming salamat sa iyong presensya. Patuloy na magbahagi ng impormasyon at karanasan. Sama-sama tayong magtutulungan upang makamit ang mas mataas na antas ng karunungan. IDNStudy.com ang iyong mapagkakatiwalaang kasama para sa lahat ng iyong mga katanungan. Bisitahin kami palagi.