Answer:
x+y=12 x-y=2 x=7, y=5
Step-by-step explanation:
you just set the equations up so that the sum is 12 difference is 2. then solve using eliminations, add the 2 equations which gives 2x=14, x=7 then solve for y. Hope this helped!!
A system of linear equations is a grouping of one or more linear equations with the same variables. The two-digit number is 75.
A system of linear equations is a grouping of one or more linear equations with the same variables.
Let the tens digit be represented by x and the unit digit be represented by y.
Given that the sum of the digits in a two-digit number is 12. Therefore, the sum of the two digits can be written as
x + y = 12
x = 12 - y
Also, given that the tens digit is 2 more than the ones digit. Therefore, we can write,
x = y + 2
Equate the value of x from the two equations together,
x = x
12 - y = y + 2
12 - 2 = y + y
10 = 2y
y = 5
Substitute the value of y in the equation of x,
x = 12 - y
x = 7
Hence, the two-digit number is 75.
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