To have infinitely many solutions they must describe the same line. So any multiple or fraction of the reference line would indeed describe the same line, and thus "intersect" at each and every of an infinite number of points.
2(x+y=4)
2x+2y=8 (is the same line as x+y=4)
<h3>
Answer: 1</h3>
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Explanation:
Pick any two points you want from the blue line. I'll pick (0,1) and (1,2)
Apply the slope formula to those points
m = (y2-y1)/(x2-x1)
m = (2-1)/(1-0)
m = 1/1
m = 1
The slope is 1.
Notice how if we're at (0,1), then we move up 1 and over to the right 1 to arrive at (1,2).
slope = rise/run = 1/1
rise = 1, run = 1
Answer:
x = 65, y = 63
Step-by-step explanation:
∠ EGA = ∠ HBG = 52° ( corresponding angles )
ED is a straight angle, thus
52 + y + 65 = 180, that is
y + 117 = 180 ( subtract 117 from both sides )
y = 63
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∠ HGB = y = 63° ( vertical angles )
The sum of the 3 angles in a triangle = 180°, thus
x + 63 + 52 = 180
x + 115 = 180 ( subtract 115 from both sides )
x = 65
Answer:
x = 2 for a, c, and f
Step-by-step explanation:
a)
6(2x - 1) = 4 + 7x
12x - 6 = 4 + 7x
5x = 10
x = 2
b)
10 - 3x = -2(x + 4)
10 - 3x = -2x - 8
18 = x
c)
-3(7 - 2x) = -1 - 4x
-21 + 6x = -1 - 4x
10x = 20
x = 2
d)
7x + 12 = 2(4x - 5)
7x + 12 = 8x - 10
22 = x
e)
-5(x + 1) = -4 - 7x
-5x - 5 = -4 - 7x
2x = 1
x = 1/2
f)
8x + 11 = 9(5 - x)
8x + 11 = 45 - 9x
17x = 45 - 11
17x = 34
x = 2
Answer:
first one is 4x
Step-by-step explanation:
Let me help. try doing what is in parenthesis first and then do the rest. for example, if u look at number 2, you have 8x - 6x + 4x. you have to solve whichever comes first. in this case, its 8x - 6x, which equals 2x. next you have +4x. 2x + 4x= 6x. hope this helped :)
