Hey there!
To start, substitution is isolating one variable in one equation in a system and plugging it into the second equation for the variable isolated.
In this case, because y in the first equation has a coefficient of 1, it is easiest to use. So now, isolate y:
-8x + y = -6
y = 8x - 6
Now that you have solved for y, plug 8x - 6 into the y value of the second equation and solve for x:
16x + 2(8x-6) = 3
16x + 16x - 12 = 3
32x - 12 = 3
32x = 15
x = 15/32
Now that you have your x value, plug it into your first equation for x and solve for y:
-8(15/32) + y = -6
-15/4 + y = -6
y= -6 + 15/4
y= -9/4
Therefore, your final answer would be x = 15/32 and y = -9/2 or the point pair (15/32, -9/2).
Solve for x:
8 x + 17 = 2 x + 35
Subtract 2 x from both sides:
(8 x - 2 x) + 17 = (2 x - 2 x) + 35
8 x - 2 x = 6 x:
6 x + 17 = (2 x - 2 x) + 35
2 x - 2 x = 0:
6 x + 17 = 35
Subtract 17 from both sides:
6 x + (17 - 17) = 35 - 17
17 - 17 = 0:
6 x = 35 - 17
35 - 17 = 18:
6 x = 18
Divide both sides of 6 x = 18 by 6:
(6 x)/6 = 18/6
6/6 = 1:
x = 18/6
The gcd of 18 and 6 is 6, so 18/6 = (6×3)/(6×1) = 6/6×3 = 3:
Answer: x = 3
Answer:
Two or more points are collinear, if there is one line, that connects all of them.
Step-by-step explanation:
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