Givens
x + y = 3
x =6 - 4y
Solution
Use the top equation to substitute for x in the second equation.
x = 3 - y
Put this result into the second given equation and solve for y
3 - y = 6 - 4y Add 4y to both sides.
3 - y + 4y = 6 Combine on the left
3 + 3y = 6 Subtract 3 from both sides
3 - 3 + 3y = 6 - 3 Combine
3y = 3 Divide by 3
3y/3 = 3/3 Combine
y = 1
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x + y = 3 but y = 1
x + 1 = 3 Subtract 1 from both sides.
x + 1 - 1 =3 - 1
x = 2
Answer
x = 2
y = 1
Answer:
9.11 x 10^-28
Step-by-step explanation:
if you divide 9.11 x 10^-28 by 1.67 x 10^-24 you get .000546
if you divide 1.67 x 10^-24 by 9.11 x 10^-28 you get 1,833
therefore, 1.67 x 10^-24 is 1833 times greater than the other value
You could factor a 7 out of 7 + 14 to get 7(1 + 2).
This would equal the same thing as 7 + 14, which is 21.
7 * 3 = 21.
21 can be factored like so:
1 * 21 = 21
3 * 7 = 21
Answer:
y = 6x + 9
Step-by-step explanation:
The equation of a line in slope- interceot form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2x + 12y = - 1 into this form
Subtract 2x from both sides
12y = - 2x - 1 ( divide all terms by 12 )
y = -
x -
← in slope- intercept form
with slope m = - 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 6
Note the line passes through (0, 9) on the y- axis ⇒ c = 9
y = 6x + 9 ← equation of perpendicular line
The answer to your question is -304