Answer:
The solution of this system of equations is (3 , -8)
Step-by-step explanation:
The given system is
x + 2y = -13
12x + 5y = -4
We make x the subject of the first equation and put it into the second:
We put this expression for x into the second equation
12(-13-2y)+5y=-4
-156-24y+5y=-4
-24y+5y=-4+156
-19y=152
y=-8
We substitute y=-8 into x=-13-2y to get:
The solution of this system of equations is (3 , -8)
Answer:
Step-by-step explanation:
Convert Decimals to Fractions
Step 1: Write down the decimal divided by 1, like this: decimal 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
Step 3: Simplify (or reduce) the fraction.
A = 1.5
B = -1/3
C = -4/3
A is a positive so there is only one possibility
B is in between 0 and -1, so it has to be -1/3
C is below -1 and so its the improper fraction
Answer:
Step-by-step explanation:
Given inequality:
In order to represent the solution on the number line, we will first solve the given inequality.
We have
Subtracting both sides by 4.
Dividing both sides by -3.
[On dividing both sides by a negative number the sign of the inequality reverses.]
So, solution of this inequality will range from -3 to -∞
The number line is represented below.
Answer:
x = 35°
Step-by-step explanation:
A triangle = 180°
The 95° is outside of the triangle so it must be smaller.
So say it is 85°
85 + 60 = 145
180 - 145 = 35
