Answer:
7
Step-by-step explanation:
It depends on what variable you are tying to solve for first. Say you are trying to solve for x first and then y on the first problem you wrote.
In substitution you solve one of the equations for example with
6x+2y=-10
2x+2y=-10
you solve 2x+2y=-10 for x
2x+2y=-10
-2y = -2y (what you do to one side of the = you do to the other)
2x=-10-2y (to get the variable by its self you divide the # and the variable)
/2=/2 (-10/2=-5 and -2y/2= -y or -1y, they are the same either way)
x=-5-y
now you put that in your original equation that you didn't solve for:
6(-5-y)+2y=-10 solve for that
-30-6y+2y=-10 combine like terms
-30-4y=-10 get the y alone and to do this you first get the -30 away from it
+30=+30
-4y=20 divide the -4 from each side
/-4=/-4 (20/-4=-5)
y=-5
now the equation you previously solved for x can be solved for y.
x=-5-y
x=-5-(-5) a minus parenthesis negative -(- gives you a positive
-5+5=0
x=0
and now we have solved the problem. x=0 and y=-5
Answer:
<em>He will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons. </em>
Step-by-step explanation:
Muhammad uses 1 yard, 2 feet and 4 inches of twine to wrap each carton he packs.
<u>We know that, 1 yard = 36 inches and 1 foot = 12 inches</u>.
So, 1 yard, 2 feet and 4 inches
inches.
That means, he uses 64 inches of twine to wrap each carton.
He has to pack 29 cartons today. So, <u>the total length of the twine he will need</u>
inches.
Now....
1856 inches

Thus, he will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons.
Answer:
80 cm
Step-by-step explanation:
To find the length of both segments together, convert the lengths into one unit measure. Convert 500 mm into centimeters by dividing it by 10. 500/10 = 50 cm. Now add 30 + 50 = 80 cm. The segment is 80 cm long.
Answer:
<h2>Hence the second option is the correct answer</h2>
Step-by-step explanation:
In this problem we are required to factor out the given terms as stated in the expression, what is obtainable is that we look for terms(greatest terms) that are common to all the terms in the expression and factor it out.
here is a way to do it
given the following expression

From the expression above we can see that 3 is common to all the terms of the expression so that we have

hence the second option is the correct answer