Starting off, we can multiply the third equation by 2 and add it to the third to get rid of both the x and y variables. Next, we get z=1. Plugging that into 3y-5z=-23, we get 3y-5=-23. Adding 5 to both sides, we get 3y=-18. After that, we can divide both sides by 3 to get y=-6. Plugging that into -2x-y-z=-3, we get -2x+6-1=-3=-2x+5. Subtracting 5x from both sides, we get -2x=-8. After that, we can divide both sides by -2 to get x=4.
Answer:
On occasions you will come across two or more unknown quantities, and two or more equations
relating them. These are called simultaneous equations and when asked to solve them you
must find values of the unknowns which satisfy all the given equations at the same time.
Step-by-step explanation:
1. The solution of a pair of simultaneous equations
The solution of the pair of simultaneous equations
3x + 2y = 36, and 5x + 4y = 64
is x = 8 and y = 6. This is easily verified by substituting these values into the left-hand sides
to obtain the values on the right. So x = 8, y = 6 satisfy the simultaneous equations.
2. Solving a pair of simultaneous equations
There are many ways of solving simultaneous equations. Perhaps the simplest way is elimination. This is a process which involves removing or eliminating one of the unknowns to leave a
single equation which involves the other unknown. The method is best illustrated by example.
Example
Solve the simultaneous equations 3x + 2y = 36 (1)
5x + 4y = 64 (2) .
Solution
Notice that if we multiply both sides of the first equation by 2 we obtain an equivalent equation
6x + 4y = 72 (3)
Now, if equation (2) is subtracted from equation (3) the terms involving y will be eliminated:
6x + 4y = 72 − (3)
5x + 4y = 64 (2)
x + 0y = 8
Answer:
Step-by-step explanation:
Hope this helps ;) ❤❤❤
Answer:
please where is the diagram
1. 4b - 2 : the product of 4 and a number (b) decreased by 2
2. the sum of 15 and 4 times a number......15 + 4x
3. 8 fewer boys then girls...how many boys.......b = g - 8
4. It will be less then 1 because of the negative exponent....a negative exponent will mean the number is less then 1...I dont really know how else to explain it.
5. Doug is twice Anna's age...doug is 34 years old
I dont know the 5 step plan...but I am putting what I do know
d = doug's age
a = anna's age
d = 2a
d = 34
34 = 2a
34/2 = a
17 = a....so anna is 17
check..
d = 2a
d = 2(17)
d = 34 (correct)
