Answer:
x = 0, y = 7
Step-by-step explanation:
Solving a system of equations using substitution requires one side to be equal to a variable present in the equation, in this case x or y. We should simplify the equation using elimination before substituting to reduce the chance of error.
In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. These equations arew already aligned for us.
3x - 10y=-70
-<u> 4x +9y = 63</u>
-x + y = 7
Now, for substitution, the equation must be set to a variable.
-x + y = 7
y = x + 7
Next, plug the equation in where applicable in another equation.
4x +9(x + 7) = 63
4x + 9x + 63 = 63
13x = 0
x = 0
The final step of substitution is to plug the known variable into an equation to find the other variable.
3(0) - 10y=-70
0 - 10y = -70
10y = 70
y = 7
I guarantee you this answer is correct, I worked it out using other methods and graphing prior to submitting this answer.
Answer:
0.25x + y = 12
Step-by-step explanation:
Given
Kiran is spending $12 on games
it means that he can spend total of $12 on rides and games
number of games is represented by x
cost of 1 game = $0.25
cost of x games = $0.25*x = $0.25x
number of rides is represented by y
cost of 1 rides = $1
cost of x rides = $1*y = $y
Total cost for x games and y rides =cost of x games + cost of y rides
Total cost for x games and y rides = $0.25x + $y
given that Kiran is spending $12 on games
Total cost for x games and y rides will be $12
thus,
$12 = $0.25x + $y
removing dollar sign for equation formation
0.25x + y = 12
given above is the equation to represent the relationship between the dollar
amount Kiran is spending and the number of games, x, and the number of
rides, y.
Yes they are equivalent expressions. If you take the z to the power of two, and subtract that from the other z to the power of two, it is zero. So you are left with four which is the answer
Answer:
4th choice: I and IV only
Step-by-step explanation:
Change the form of the given equation to standard form.
y = -2/3 x + 2
3y = -2x + 6
2x + 3y = 6
Now compare this equation with the 4 choices.
Any equation that has the same x- and y-terms but a different constant term is parallel.
I. is parallel.
II. and III. are not parallel.
Look at IV.:
4x + 6y = 3
Divide both sides by 2:
2x + 3y = 3/2
IV. is also parallel.
Answer: 4th choice: I and IV only
Answer:
The car dealer must sell 105 cars in May to reach his goal.
Step-by-step explanation:
Given that the car dealer sold 84 cars in April, and wants to increase his May sales by 25%, to determine the number of cars he must sell to reach his goal it is necessary to perform the following calculation:
84 + (84 x 0.25) = X
84 + 21 = X
105 = X
Therefore, the car dealer must sell 105 cars in May to reach his goal.
