Answer:
3y = -2x -7
Step-by-step explanation:
The equation of the line;
y = 
x + 8
Unknown:
Equation of the line passing through (4, -5);
Solution:
To solve this problem;
the equation of a line is given as;
y = mx + c
where x and y are the coordinate
m is the slope
c is the intercept
To solve this problem,
The slope if the same as that of the new line since they are parallel;
Equation of the new line;
x = 4 and y = -5
-5 = x 4 + c
-5 = 
+ c
c = -5 + 
c = 
So, the equation of the line is;
y = x - 
or ;
3y = -2x -7
Supplementary angles add up to 180º
If one is 40º, then the other is (180º-40º) = 140º
None of those choices describes a plane.
choice C is the only example of a plane.
Answer: x+y = 40
We have a = 1, b = 1, c = 40
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Explanation:
x = number of nickels
y = number of quarters
The equation 0.05x+0.25y = 5 represents adding the values from the nickels and quarters
0.05x = value of just the nickels
0.25y = value of just the quarters
0.05x+0.25y = total value = 5 dollars
That's how that first equation was formed.
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Based on those x and y definitions above, we know that x+y = 40 because there are 40 coins of either nickels or quarters only. So the sum of the two coin counts must be 40 overall.
The equation x+y = 40 is the same as 1x+1y = 40. This equation is in the form ax+by = c where,
a = 1
b = 1
c = 40
Answer:
x = 2 and y = -2
Step-by-step explanation:
We must first eliminate the y-variable:
2x + 3y = -2
3x - 6y = 18
4x + 6y = -4
3x - 6y = 18
_________
7x = 14
x = 2
Since we know x=2, we plug that back into one of the original equations to find y:
2x + 3y = -2
2(2) + 3y = -2
4 + 3y = -2
3y = -6
y = -2
Therefore, x = 2 and y = -2
Answer:
Step-by-step explanation:
To solve the system of equations you must apply the proccedure shown below:
- Make both equations equal to each other.
- Solve for x.
Then:
- Substitute the value of x obtained into any on the original equations to find y:
