3x + y = 10
x - 4y = -1
Multiply the 2nd equation by -3
-3x +12y = 3
Add the 1st equation to the 3rd equation:
13y = 13
Divide both sides by 13:
y = 1
Answer: A) 1
I'll say the first integer is x. The next consecutive odd number would be x+2. If the sum of the odd integers is 236, the equation would be
x + (x + 2) = 236
solve for x
2x + 2 = 236
subtract 2 from each side of the equation
2x = 234
divide both sides by 2
x = 117
117 is the first odd integer. to find the other integer (x + 2), substitute 117 for x, and you have 117 + 2, which equals 119
The two consecutive odd integers that add up to 236 are 117 and 119.
X= 1,-3 If you factor equation you get x-1=0 and x+3=0
Answer: 1 : 3
Step-by-Step Explanation:
No. Of Lines of Symmetry for an Equilateral Triangle is 3.
No. Of Lines of Symmetry for an Isosceles Triangle is 1.
Therefore,
= 1/3
=> 1 : 3
The Ratio of the Number of Lines of Symmetry for an Isosceles Triangle to that of an Equilateral Triangle is 1 : 3
Answer:
Initial cost for a job = $2
Step-by-step explanation:
Let initial cost be $x.
Fixed amount for each copied page = $y
John:
Fixed amount for 425 pages = 425*y = 425 y
x + 425y = 10.50 ---------------(i)
Peter:
Fixed amount for 300 pages = 300 * y =300y
x + 300y = 8 ---------------------(ii)
Multiply (ii) by (-1) and add the both equation. Thus x will be eliminated.
(i) x + 425y = 10.50
(ii)*(-1) <u>-x - 300 y = - 8</u>
125y = 2.50
y = 2.50/125
y = $ 0.02
Plug in y value in equation (i)
x + 425*0.02 = 10.50
x + 8.50 = 10.50
x = 10.50 - 8.50
x = $2
