\left\{\begin{array}{ccc}x+y=251\\y=x+41\end{array}\right\\\\substitute:\\\\x+x+41=251\\2x+41=251\ \ \ \ /-41\\2x=210\ \ \ /:2\\x=105\\\\y=105+41=146\\\\Answer:105\ and\ 146.
146 dan 105
Further explanation
Given:
Two numbers add to 251 and the second is 41 bigger than the first.
Question:
What are the two numbers?
The Process:
Let the first number we call x, and the second number is y.
Two numbers add to 251, We arrange it as Equation-1:
x + y = 251
The second is 41 bigger than the first. We arrange it as Equation-2:
x = y + 41 or x − y = 41
Let us solve the two equations above by eliminating the same variable. With the addition process, it appears that the variable y will be eliminated.
x + y = 251
x - y = 41
-------------- ( + )
2x = 292
Divide by two on both sides.
x = 146
The final step is to determine the variable y with the substitution of the value x into one of the two equations above. We choose Equation-1.
x = 146 → 146 + y = 251
y = 251 - 146
y = 105.
Thus, the two numbers are 146 and 105.
Learn more
How many solutions exist for the given equation? https://brainly.com/question/11306893#
Solving a system of linear equations in two variables https://brainly.com/question/11549940#
Three multiple-choice questions https://brainly.com/question/1979240
Finding the equation, in slope-intercept form, of the line that is parallel to the given line and passes through a point https://brainly.com/question/1473992
The two numbers are 105 and 146. The first number is 105, and the second number, which is 41 more than the first, is 146. Both numbers satisfy the condition that they add up to 251.
;
Jawab:Penjelasan dengan langkah-langkah:Dalam Bab 10 ditambahkan sub bahasan merangkai angka indeks, yang sangat berguna di dalam membandingkan dua angka indeks atau lebih. (yang berasal dari dua.