Answer:
Step-by-step explanation:
The slope intercept form of a line is y=mx+b where m is the slope and b is the y intercept. We are given a slope of three so
y=3x+b, using point (1,3) we can solve for b
3=3(1)+b, 3-3=0 so b=0 then our line is
y=3x
The x intercept is when y=0 and this occurs when x=0 or the point (0,0)
The y intercept occurs when x=0, this occurs when y=0 or the point (0,0)
Answer:
1.Therefore the solution of given system is (3,4)
2.Therefore the solution of given system is (-1,2)
Step-by-step explanation:
1.
Given the system
2x +3y =18...........(1)
-2x+5y =14...........(2)
Adding the equation (1) and (2)
2x+3y-2x+5y= 18+14
⇔8y = 32
⇔
⇔y = 4
Putting the value of y in equation (1)
2x + 3. 4=18
⇔2x+12 =18
⇔2x = 18-12
⇔2x = 6
⇔x =3
Therefore the solution of given system is (3,4)
2.
Given the system
3x +4y = 5..........(a)
2x +7y =12...........(b)
Equation (a) ×2 - equation (b)×3
2(3x+4y)- 3(2x+7y) = 2.5 -12.3
⇔6x + 8y -6x -21y = 10-36
⇔ -13y = -26
⇔
⇔y = 2
Putting the value of y in equation (a)
3x +4.2 =5
⇔3x = 5 -8
⇔3x = -3
⇔x = -1
Therefore the solution of given system is (-1,2)
Answer:
A
Step-by-step explanation:
if the rule is (-x,y) then that just means the x changes
(3,-2) changes to (-3,-2)
12 and 23
- Two numbers are relatively prime only when they have 1 as the common factor . or in other words they can not be divided by any other number other than 1 and itself.
- To find
- relative prime
- of two numbers we need to find the HCF of the numbers. If the HCF is 1, then the two numbers are said to be relatively primes or in other words only 1 should be common as factor.
- factor of 23 = 2, 2, 3, 1
here only 1 is a common factor.
To know more about relatively prime visit : brainly.com/question/28044613
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