Answer:
-9/5 , -8/5 , -7/5, -6/5 , -5/5.
Step-by-step explanation:
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Answer:
(-5,17) is a solution to the equation
Step-by-step explanation:
The equation is y = -2x+7
Substitute the values of x=-5 and y =17 into the equation and see if it is true
17 = -2(-5) +7
17 = 10+7
17=17
This is true so (-5,17) is a solution to the equation
Answer:???????
Step-by-step explanation: ?????????? ???????
To answer by systems of elimination, you add equations together to eliminate variables if they have the same amount of negative variables in one as the positive variables in another.
For example, in number one.
x - y = 11
2x + y = 19
Both equations contain a variable expressed in the same numbers of negative and positive in each of them, one positive y and negative y. This lets us add the equations together.
x + 2x = 3x
11 + 19 = 30
3x = 30
x = 10
Now that we know that x = 10, we can plug it into the first equation, x - y = 11 to find y.
x - y = 11
10 - y = 11
y = -1
For the second one,
4x + 8y = 20
-4x + 2y = 30
Negate the x's since there is the same and opposite amount, while adding the rest of the equations together.
8y + 2y = 10y
20 + 30 = 50
10y = 50
y = 5
Plug it into the initial equation to find x
4x + 8(5) = 20
4x + 40 = 20
Subtract 40 from both sides
4x = -20
x = -5
For the third equation,
-6x + 5y = 1
6x +4y = -10
Negate the x's, add the rest together
5y + 4y = 9y
1 - 10 = -9
9y = -9
y = -1
Plug it into the first equation to find x
-6x + 5y = 1
-6x + 5(-1) = 1
-6x - 5 = 1
Add five to both sides
-6x = 6
Divide both sides by negative 6
x = -1
When the problems do not have the same value of opposite versions of current numbers, for example:
3x + 4y = 6
-6x +g = 6
You can multiply an entire equation to get similar numbers of a variable.
For example, you can multiply the first equation entirely by 2 to get the same number of positive x's to the negative x's in the second one, changing it to 6x x 8y = 12.
Hope I helped.
You're given a system of linear equations and are charged with the task of finding a single solution to this system, if there is one. In other words, you must come up with the coordinates of the point of intersection of the graphs of these two lines.
y= -3x +4
y= 2x -11
Note that we can immediately elimiinate y by setting these two equations equal to one another: y= -3x +4
= y= 2x - 11. By subtracting y from both sides, we end up with -3x +4
= 2x - 11.
Combining like terms we get 5x on the right and 15 on the left.
Solving for x, x = 15/5 = 3. Now that we know x = 3, subst. 3 for x in the 2nd equation: y = 2x - 11 becomes y = 2(3) - 11, or y = 6 - 11, or y = -5.
The solution to your system of linear equations is the point (3, -5).
You should verify that this point satisfies both of the given equations.