Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

what is the solution to y=5x-7 -3x-2y=-12

Sagot :

naǫ
[tex]y=5x-7 \\ -3x-2y=-12 \\ \\ \hbox{substitute 5x-7 for y in the 2nd equation:} \\ -3x-2(5x-7)=-12 \\ -3x-10x+14=-12 \\ -13x+14=-12 \ \ \ |-14 \\ -13x=-26 \ \ \ |\div (-13) \\ x=2 \\ \\ y=5x-7=5 \times 2-7=10-7=3 \\ \\ \boxed{(x,y)=(2,3)}[/tex]
heyDB
Since −3x does not contain the variable to solve for, move it to the right-hand side of the equation by adding 3x to both sides.
y=5x−7 
−2y=3x−12

Divide each term in the equation by −2.
y=5x−7 
y=−3x/2+6

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

(2,3)
View image heyDB
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.