Respuesta :
Answer:
7 problems
Step-by-step explanation:
20-6=14 which = 7 problems each, and 14+6=20
The required equation is,
[tex]x + y = 20\\x-y = -6[/tex]
Andy complete 7 equation.
Given that,
Andy and Juana complete 20 equations together.
Juana completed 6 more than Andy.
We have to determine,
Write and equation to solve the problem. How many problems did Andy complete.
According to the question,
Let, Andy complete equation be x,
And Juana complete the equation y.
Then,
Andy and Juana complete 20 equations together.
[tex]x + y = 20[/tex]
And, Juana completed 6 more than Andy.
Andy complete the equation (20-x),
Juana complete the equation (20-y+6).
Then,
The required equation is,
[tex]20-x = 20 -y + 6 \\- x = -y+ 6\\x - y = -6[/tex]
On solving both the equation,
[tex]x + y = 20\\\\x - y = -6[/tex]
From equation 1,
[tex]x + y = 20\\\\x = 20 -y[/tex]
Substitute the value of x in the equation 2,
[tex]x - y = -6 \\\\20 - y - y = -6\\\\-2y = -6 - 20 \\\\-2y = -26 \\\\y = \dfrac{-26}{-2}\\\\y = 13[/tex]
Juana complete 13 equation.
Substitute the value of y in the equation 1,
[tex]x + y = 20\\\\x + 13 = 20\\\\x = 20 -13\\\\x = 7[/tex]
Andy complete 7 problems.
Hence, The required equation is,
[tex]x + y = 20\\\\x = 20 -y[/tex]
Andy complete x = 7 equation.
To know more about Equations click the link given below.
https://brainly.com/question/14624011
