9514 1404 393
Answer:
(x, y) = (-1, -3)
Step-by-step explanation:
The equations are "consistent" and "not dependent." This will be the case whenever the ratios of x- and y-coefficients are different.
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We can solve this by "elimination" by multiplying the first equation by -4 and adding the result of the second equation being multiplied by 7.
-4(2x -7y) +7(7x -4y) = -4(19) +7(5)
-8x +28y +49x -28y = -76 +35 . . . . eliminate parentheses
41x = -41 . . . . . simplify
x = -1 . . . . . . . divide by 41
Using the second equation, we find y to be ...
(7x -5)/4 = y = (7(-1) -5)/4 = -12/4 = -3
So, the solution is (x, y) = (-1, -3).
Answer:
Karen had 45 m and m's candy.
Step-by-step explanation:
Let the number of m and m's candy be 'x'.
Now given:
Karen gave an equal amount of m and m's to herself and four friends.
So we can say that;
Number of people m and m's candy distributed equally = 5
Also Given:
Each person receives m and m's equivalent to the largest one digit number.
Now we know that;
Largest one digit number is 9.
So we can say that;
Each person receives m and m's = 9
We need to find number of m and m's Karen have.
Solution:
So we can say that;
Total number of m and m's Karen have is equal to Number of people m and m's candy distributed equally multiplied by number of m and m's can each person receives.
framing in equation form we get;
Total number of m and m's Karen had = 
Hence Karen had 45 m and m's candy.
Answer:
After 4 years working for the company, he would make $79,000 of salary.
His salary after t years will be:
[te]S(t) = 69000 + 2500t[/tex]
Step-by-step explanation:
David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he stays with the company, he will be given a salary raise of $2500.
This means that after t years, his salary will be given by:
[te]S(t) = 69000 + 2500t[/tex]
How much would David make as a salary after 4 years working for the company?
[te]S(4) = 69000 + 2500*4 = 69000 + 10000 = 79000[/tex]
After 4 years working for the company, he would make $79,000 of salary.
Answer:
x=1 is the solution of the equation 2x+4=10−4x
Step-by-step explanation:
The graphs of f(x)=2x+4 and g(x)=10−4x intersect at (1, 6)
2x +4 = 10 - 4x
We need to solve for x by combining like terms
Add 4x on both sides
6x + 4= 10
Now subtract 4 on both sides
6x = 6
divide both sides by 6
x= 1
x=1 is the solution of the equation 2x+4=10−4x
It gave you the input because it is telling you what x is
