Answer:
Solution: x = -2; y = 3 or (-2, 3)
Step-by-step explanation:
<u>Equation 1:</u> y = -5x - 7
<u>Equation 2:</u> -4x - 3y = -1
Substitute the value of y in Equation 1 into the Equation 2:
-4x - 3(-5x - 7) = -1
-4x +15x + 21 = -1
Combine like terms:
11x + 21 = - 1
Subtract 21 from both sides:
11x + 21 - 21 = - 1 - 21
11x = -22
Divide both sides by 11 to solve for x:
11x/11 = -22/11
x = -2
Now that we have the value for x, substitute x = 2 into Equation 2 to solve for y:
-4x - 3y = -1
-4(-2) - 3y = -1
8 - 3y = -1
Subtract 8 from both sides:
8 - 8 - 3y = -1 - 8
-3y = -9
Divide both sides by -3 to solve for y:
-3y/-3 = -9/-3
y = 3
Therefore, the solution to the given systems of linear equations is:
x = -2; y = 3 or (-2, 3)
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Jury duty is where you have to server your duty being on a jury for a court case. On a jury duty, you vote if you think the person on trial is guilty or not.
-Steel jelly
Y=10°
If we're solving for the ninety degree angle, which I seem to doubt, then if 3x=90 then 2x=60 giving a missing total of 30. 30/3 equals 10
Step-by-step explanation:
Given inequality is
.
To graph that inequality, first we need to graph the line
. Then shade it for the inequality symbol <.
Graphing line can be done using two points.
plug x=0 into
, we get:

Hence first point is (0,2)
Similarly plug any random number for x say x=4, we get:

Hence first point is (4,5).
Now we just need to graph both points and join them by a dotted line. because we have < not <=.
Next part is to test for shading.
Which can be done using any test point which is not on the given line. Say (0,0)
plug x=0,y=0 into
.


0<2
which is true, hence shading will be in direction of test point (0,0).
Hence final answer will be the choice which looks like the graph attached below;