Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

A first number plus twice a second number is 8. Twice the first number plus the second totals 10. Find the numbers.

Sagot :

ScreenBlackk
[tex]\{ {{x+2y=8\ \ \ \ \ \ \ \ \ \ \ } \atop {2x+y=10\ [\times\ (-2)]}}\\\\ \{ { {\ \ x+2y=8\ \ } \atop {-4x-2y=-20}}\\\\ -3x=-12\\ x=\frac{-12}{-3}\\ \boxed{x=4}\\\\ 2(4)+y=10\\ 8+y=10\\ y=10-8\\ \boxed{y=2}\\\\ x+2y=8\\ 4+2(2)=8\\ 4+4=8\\ \boxed{8=8}\\\\ 2(4)+2=10\\ 8+2=10\\ \boxed{10=10}[/tex]
a + 2b = 8
2a + b = 10
b = 10 - 2a
a + 2(10 - 2a) = 8
a + 20 - 4a = 8
-3a = -12
a = 4
4 + 2b = 8
2b = 4
B = 2
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.