Answer:
(1, -3)
(2, -5)
(3, -7)
Step-by-step explanation:
Randomly choose three values for "x". Substitute each of them separately into the formula to find the "y". Then write the solution as an ordered pair (x, y).
I will choose x=1, x=2 and x=3.
When x=1:
y = -2x - 1
y = -2(1) - 1
y = -2 - 1
y = -3
(1, -3)
When x=2:
y = -2x - 1
y = -2(2) - 1
y = -4 - 1
y = -5
(2 , -5)
When x=3:
y = -2x - 1
y = -2(3) - 1
y = -6 - 1
y = -7
(3, -7)
Three solutions for y = -2x - 1 are (0, -1), (2, -5), and (-3, 5), where x and y are related by this linear equation.
The equation y = -2x - 1 represents a linear relationship between x and y. To find three solutions for this equation, you can choose different values for x and calculate the corresponding values of y. Here are three solutions:
Solution 1:
Let x = 0:
y = -2(0) - 1
y = 0 - 1
y = -1
So, one solution is (0, -1).
Solution 2:
Let x = 2:
y = -2(2) - 1
y = -4 - 1
y = -5
So, another solution is (2, -5).
Solution 3:
Let x = -3:
y = -2(-3) - 1
y = 6 - 1
y = 5
So, a third solution is (-3, 5).
You can choose any values for x and calculate the corresponding y-values to find more solutions to this linear equation.
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y=-x+6
y=3x-2
Answer:
See below
Step-by-step explanation:
(1) Create a table containing a few values of x and y
I chose x = -5, 0, and 5.
(2) Plot your points
Draw dots at the coordinates of each point ( Fig. 1).
(3) Draw the graph
Draw smooth lines through the points for each function.
Extend the lines in both directions to the edges of the plot area.
Your graphs should look like Fig. 2.
(4) Plot the solution
Note where the lines cross.
They appear to intersect at (4, 10).
Plot the point, and the finished graph should look like Fig. 3.
Answer:
(2, 4)
Step-by-step explanation:
Both equations have been solved for y, so to find x we need only set the equations = to each other: y=-x+6 = y=3x-2
Combining like terms, we get 4x = 8, and x = 2. Substituting 2 for x in y = 3x -2, we get y = 3(2) - 2 = 4.
The solution is (2, 4). If you were to graph these two lines, you'd find that they intersect at (2, 4).
This is an algebraic expression.The answer is 10,because 45-10=35.