The solution of the linear equations will be ( -2, 4).
<h3>What is an equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given equations are:-
Solving the equations by elimination method:-
2x +3y = 8
3x+y= -2
Multiply the second equation by 3 and subtract from the first equation.
2x +3y = 8
-9x -3y = 6
----------------
-7x = 14
x = -2
Out of the value of x in any one equation, we will get the value of y.
3x+y= -2
3 ( -2) + y = -2
-6 + y = -2
y = 4
The graph of the equations is also attached with the answer below.
Therefore the solution of the linear equations will be ( -2, 4).
The complete question is given below:-
Exploring Systems of Linear Equations 2x +3y =8 and 3x+y= -2. Find the value of x and y and draw a graph for the system of linear equations.
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For this case we have that the relationship is direct.
Therefore, we have:
Where,
y: distance traveled in kilometers
x: number of liters of fuel
k: proportionality constant
We must look for the value of k. For this, we use the following data:
This car can travel 476 kilometers on 17 liters of fuel.
Substituting values we have:
From here, we clear the value of k:
Therefore, the relationship is:
For 1428 kilometers we have:
Clearing the amount of fuel we have:
Answer:
51 liters of fuel are required for the vehicle to travel 1,428 kilometers
Answer:
126 square feet
Step-by-step explanation:
The formula for the area of a triangle is ...
A = (1/2)bh . . . . . where b is the base length and h is the height
Here, you have a triangular face that has a base of 6 ft and a height of 14 ft. Its area is ...
A = (1/2)(6 ft)(14 ft) = 42 ft^2
The lateral area of the pyramid consists of 3 such triangles, so the lateral area is ...
LA = 3·(42 ft^2) = 126 ft^2
Answer:
81
Step-by-step explanation:
Range = maximum - minimum so here, we'd have:
52 = max - 29
Add 29 to both sides to solve.
Answer: im having the same problem
Step-by-step explanation:
