<span>x = number of domestic stamps
y = number of foreign stamps
Malik
collects rare stamps and has a total of 212 stamps.
=> x + y = 212
he has 34 more
domestic stamps than foreign stamps.
=> x = y + 34
which
equation represents the total number of stamps malik collected?
x + y = 212
which
equation represents the difference in the number of foreign and domestic
stamps malik collected?
x - y = 34
which system of linear equations represents the
situation?
x + y = 212
x - y = 34
</span>
4 answers · Mathematics
Best Answer
We will need to split the middle term and use the grouping method. To do this multiply the coefficient of the first term (6) against the coefficient of the last term (10):
6 * 10 = 60
Factors of 60 = +-(1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60)
From the list of factors find two numbers that when added together give -19 and when multiplied together give 60. -15 and -4 added together give -19 and multiplied together give 60 so split the middle term by rewriting these values back into the expression:
6x^2 - 15xy - 4xy + 10y^2
Now use the grouping method, take out the highest common factor between the two sets of terms:
3x(2x - 5y) - 2y(2x - 5y)
Group the outside terms:
(3x - 2y)(2x - 5y)
Answers
6 = -3*-2
10 = 5*2
5*3+2*2=19
thus
(2y-3x)(5y-2x)
Answer: y= 3/5x+1
Step-by-step explanation: if you want to check if its perpendicular go on Desmos graphing calculator on goolge and plug both equations:)
