Solve the system using substitution: X+Y=5 Y=X - 9
1 answer:
Answer:
x = 7
y = -2
Step-by-step explanation:
There are 2 equations. The substitution method takes one equation and puts it into the other and solves for 1 variable. Then you take that answer and put into any one equation and solve for the other variable.
Since equation #2 is already given for y = SOMETHING, we take that something and put it into "y" of the 1st equation. Shown below:
We got x = 7
Now, we know from Equation #2, y = x - 9, so
y = x - 9
y = 7 - 9
y = -2
Hence,
y = -2
In coordinate pair, the answer is (7, -2)
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Answer:
Option a is right
Step-by-step explanation:
Given that as part of a research project on student debt at TWU, a researcher interviewed a sample of 35 students that were chosen at random concerning their monthly credit card balance.
Sample average = 2573
Variance = 4252
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STd deviation of X =
Score of student selected at random X=1700
Corresponding Z score =
Rounding of we get Z score = -13.4
option a is right
<u>ANSWER: </u>
(-5, 0.5) is the solution of given equation x – 4y = –7, 0.2x + 2y = 0.
<u>SOLUTION: </u>
Given, two equations are x – 4y = -7 → (1)
And 0.2x + 2y = 0 → (2)
We have to find whether (-5, 0.5) is a solution of given system or not.
For that, we have to solve the given two equations.
Before solving let us multiply equation (2) with 2 in order to get y terms cancelled. Such that, our process becomes easy.
Now equation (2) becomes
0.4x + 4y = 0 → ( 3 )
Now, add equation (1) and equation (3), we get
1.4x + 0 = -7
Now, substitute x value in (2)
0.2(-5) + 2y = 0
-1 + 2y = 0
2y = 1
y = 0.5
So, the solution for given equations is (-5, 0.5).
Hence (-5, 0.5) is the solution of given equations.