#1 second line: x-y=-3
x=y-3(isolating x to prepare for substitution)(what x is equivalent to)
get back to the first line
x+y=5
(y-3)+y=5(substituting the value of x of the first line with the value of x at the second line)(It is a process to find the intersection between the two lines(line#1 and line#2 are two linear functions)
2y-3=5(simplify)
2y=8(simplify)
y=4(simplify)
line#1 x+y=5
x+(4)=5(plug the value of y back into either line#1 or line#2 will work)(plugging in the y value of the point of intersection to solve for the x value of the point of intersection)
x=1(solve)
the two linear lines intersect at the point(1(x coordinate), 4(y coordinate))(1,4)
#2 (line#1) y=3x-1
(line#2) 2x+y=14
2x+(3x-1)=14
5x-1=14
5x=15
x=3
y=3(3)-1
y=9-1
y=8
(3,8)
#3 line#1 2x+3y=8
line#2 6x+9y=24
2x=8-3y
x=(8-3y)/2
6((8-3y)/2)+9y=24
24-9y+9y=24
24=24
(those two lines are on top of yeach other/the same line)
any point on the line
#4 line#1 3x-4y=12
line#2 y=3/4x-4
3x-4(3/4x-4)=12
3x-3x+16=12
16=12
parallel lines: lines with same slope and different y-intercept
No solution/they never intercept each other
I hope it is helpful, if you have any question, I will answer ASAP
Answer:
8/5 is the answer, I know this because when I used the answer the other dude gave me I got it wrong so trust me it is 8/5
Answer:
Step-by-step explanation:
Integers with the points on the line are
Correct answer choice is d.
First, let's make all the mixed fractions into improper fractions. To do that, we multiply the whole number by the denominator and add the numerator; this new number becomes the numerator while we keep the same denominator, thus:
3 2/7 = 3 * 7 + 2 / 7 = 21 + 2 / 7 = 23/7
1 6/7 = 1 * 7 + 6 / 7 = 7 + 6 / 7 = 13/7
Our new problem is
23/7 - (13/7 + 2/5)
The next step to be able to simplify this is to have common denominators. To do that here, we will multiply the first two fractions by 5/5 and the third fraction by 7/7, thereby making all three fractions have a denominator of 35:
5/5(23/7) - [5/5(13/7) + 7/7(2/5)]
115/35 - (65/35 + 14/35)
Finally, we can add the fractions in the parenthesis, and then subtract that number from 115/35:
115/35 - 79/35
36/35
Answer:
36/35
