:Two Angles are Supplementary when they add up to 180 degrees. Notice that together they make a straight angle.
and if that doesn't help
:There are in an angle of one fifth of the supplementary angle. Supplementary angle decides the angle to always be and the complementary angle is always (i.e., right angle)
The solution of the system of equations that is given is (2,-1).
Given a system of equations are 5x+y=9 and 3x+2y=4.
A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.
The given equations are
5x+y=9 ......(1)
3x+2y=4 ......(2)
Here, the substitution method is used to solve the system of equations.
Find the value of y from equation (1) by subtracting 5x from both sides.
5x+y-5x=9-5x
y=9-5x
To find the value of x substitute the value of y in equation (2).
3x+2(9-5x)=4
Apply the distributive property a(b+c)=ab+ac as
3x+2×9-2×5x=4
3x+18-10x=4
Combine the like terms on the left side as
-7x+18=4
Subtract 18 from both sides and get
-7x+18-18=4-18
-7x=-14
Divide both sides by -7 and get
(-7x)÷(-7)=(-14)÷(-7)
x=2
Substitute the value of x in equation (1) and get
5(2)+y=9
10+y=9
Subtract 10 from both sides
10+y-10=9-10
y=-1
Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).
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Answer:
-4
Step-by-step explanation:
-10 - (-6)
Remove the brackets:
-10 - - 6
Remember that all negative and negative values are always positive because they are the same; if they are different, for instance, a positive value and a negative value, then that value will be a negative value.
Continue solving:
-10 - - 6
- and - are positive values
- 10 + 6
= - 4
Therefore the answer is 4
Answer
144
Step-by-step explanation:
12*12
