Two times a number plus three times another number equals 13.
The sum of the two numbers is 7. What are the numbers?

\ \ x=7-y\\\\ 2(7-y)+3y=13\\ 14-2y+3y=13\\ 14+y=13\\ y=-1\\ x=7+1=8\\\\ Numbers\ are\ -1\ and\ 8."> x − f i rs t n u mb er y − seco n d n u mb er 2 x + 3 y = 13 x + y = 7 − − > x = 7 − y 2 ( 7 − y ) + 3 y = 13 14 − 2 y + 3 y = 13 14 + y = 13 y = − 1 x = 7 + 1 = 8 N u mb ers a re − 1 an d 8.

Answered by luana | 2024-06-10

The **value **of the numbers 'x' and 'y' will be 8 and **negative **1, respectively.
What is the solution to the equation?
The allocation of weights to the important **variables **that produce the **calculation's **optimum is referred to as a direct consequence .
**Two **times a number plus three **times **another number equals 13. The **sum **of the two numbers is 7.
Let 'x' and 'y' be the numbers. Then the **equations **are given below.
2x + 3y = 13 ...1
x + y = 7 ...2
From **equations **1 and 2, then we have
2x + 3(7 - x) = 13
2x + 21 - 3x = 13
21 - x = 13
x = 21 - 13
x = 8
The value of the **variable **'y' will be given as,
8 + y = 7
y = 7 - 8
y = - 1
The **value **of the numbers 'x' and 'y' will be 8 and **negative **1, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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Answered by jainveenamrata | 2024-06-16

The two numbers are 8 and -1. We found these values by creating and solving a system of linear equations. The first equation represented a relationship between the two numbers, while the second represented their sum.
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Answered by jainveenamrata | 2024-10-11