check your Unit Circle for those angles.
-3x-y = -17
-x+y=-1
Using addition
-4x +0y = -16
-4x=-16
x=4
Then plug the value of x into one of the original equations
-x+y=-7
-(4)+y=-7
y=-7+4
y=-3
The solution is x=4 and y=-3
Thus (4,-3)
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Answer:
2 science fiction and 5 mystery
Step-by-step explanation:
First, we will set up a system of equations.
x (science fiction) y (mystery)
x + y = 7 This is the total books bought.
7x + 9y = 59 The amount of each set to the total cost.
Now we solve.
(-7)x + y = 7 equals
-7x - 7y = -49
added to
7x + 9y = 59
this equals
2y = 10
y = 5
Now we know one. We can plug it in to find the other value.
x + 5 = 7
x = 2
1. Find a common denominator
?/12+?/12
2. Find the correcsponding numerator
4/12+3/12
3. Solve
4/12+3/12 = 7/12\
Answer:
5 mph.
Step-by-step explanation:
Let the runner travel at x miles an hour , then the cyclist travels at 5/ 3 * x
= 5/3 x miles an hour.
So we have the equation
5/3 x - x = 2 ( since the cyclist was travelling at 2 mph faster).,
2/3 x = 2
x = 3/2 * 2 = 3 mph.
So the cyclists speed was 3 * 5/3
= 5 mph.