Answer:
x = 10
z = 97
Step-by-step explanation:
<u>Answer:
</u>
x = 5 and y = 0 is correct solution of 2x + y -10 = 0 and x – y – 5 =0
<u>Solution:
</u>
Two given equations which needs to be solve are
2x + y – 10 = 0 ------ (1)
x– y – 5 = 0 ------ (2)
Let’s modify equation (1)
2x + y – 10 = 0
y =10 - 2x ------ (3)
On substituting value of y from equation (3) in equation (2) we get
x – (10 – 2x) -5 = 0
x – 10 + 2x – 5 = 0
3x -15 = 0
x = 5
Substituting x = 5 in equation (3) to get value of y.
y = 10 – 2 5 = 10 – 10 = 0
So on solving given equation we get x = 5 and y = 0.
Lets substitute value of x = 5 and y = 0 in equation (1) and equation (2) to check whether these calculated values satisfies given equations or not.
For equation (1), 2 5 + 0 – 10 = 10 – 10 = 0
For equation (2), 5 – 0 – 5 = 0
On solving, in both cases LHS = RHS for calculated values of x = 5 and y = 0.
Hence x = 5 and y = 0 is correct solution of two given equation.
We need to first find the area of all the dozen planks, top and bottom.
A=(length)(width)
A=(8)(3)=24 feet squared
24+24=48 feet squared for each plank
Then, you would multiply 48 with 12 since all the planks have the same dimensions.
(48)(12)=576 feet squared in total
Then in order to find the number of pints of varnish needed to cover the dozen planks top and bottom, we need to divide the total area, 576 with 125 which is about 4.608 which means that Alex needs 5 pints of varnish to cover all the planks.
Answer: 4 pints of varnish