kalikylnnking8408
Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Solve each system by substitution.
y=5x-7
-3x-2y=-12
Type in your solution (x,y)

Sagot :

[tex] \huge \color{pink} \boxed{AnSwEr \: ♧}[/tex]

Step-by-step explanation:

[tex]\\ \\ \large \color{blue}{Given \: Question↣} \pink{Solve \: by \: substitution \: method} \\ \\ \pink{two \: equations \: given↣y = 5x - 7; - 3x - 2y = - 12} \\ \\ \large \color{blue} {lets \: solve : - } \\ \\ \large \sf \green{we \: know \: that \: y = 5x - 7} \\ \\ \large \sf \green{putting \: y = 5x - 7 \: in \: equation( - 3x - 2y = - 12)} \\ \\ \large \red{ ⇒} \large \sf \green{ \: - 3x - 2(5x - 7) = - 12} \\ \\ \large \red{ ⇒} \large \sf \green{- 3x - 10x + 14 = - 12} \\ \\\large \red{ ⇒} \large \sf \green{arranging \: terms} \\ \\ \large \red{ ⇒} \large \sf \green{ - 3x - 10x = - 12 - 14} \\ \\ \large \red{ ⇒} \large \sf \green{ - 13 x = - 26} \\ \\ \large \red{ ⇒} \large \sf \green{x = \cancel \frac{ - 26}{ - 13} } \\ \\ \large \red{ ⇒} \large \sf \green{x = 2} \green {(soo \: x = 2)}\\ \\ \large \sf\pink{now \: putting \: x = 2 \: in \: equation \: y = 5x - 7} \\ \\ \\ \\ \large \red{ ⇒} \large \sf \green{y = 5(2) - 7}\\ \\ \large \red{ ⇒} \large \sf \green{y = 10 - 7}\\ \\ \large \red{ ⇒} \large \sf \green{y=3} \\ \\ \\ \huge \color{pink}\frak {hence \: x = 2 \: nd \: y = 3}[/tex]

[tex]\\\\[/tex]

[tex]\large\color{cyan}{\boxed{\mathfrak{❥\:Glossy\:Pearl}}}[/tex]

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.