Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.