Answer:
x = 2
Step-by-step explanation:
x + 1 + 4 = 2x + 3
x + 5 = 2x +3
x + 2 = 2x
2 = x
x = 2
Answer:
Step-by-step explanation:
Given that,
y=x+2 equation 1
2x-y=-4 equation 2
This is a simultaneous equation.
Substitute equation 1 into equation 2
2x-y=-4. Since y=x+2
2x-(x+2) = -4
2x-x-2 = -4
x-2 = -4
x = -4+2
x = -2
Also from equation 1
y=x+2
Since x=-2
y=-2+2
y=0
Then, solution (x, y) = (-2,0)
1+tan^2(y)=1/cos^2(y)
cos 2y -1=cos^2(y) -sin^2(y)-cos^2(y) -sin^2(y)
Answer:
Answer image is attached.
Step-by-step explanation:
Given rational expressions:
And the rewritten forms:
We have to match the rewritten terms with the given expressions.
Let us consider the rewritten terms and let us solve them one by one by taking LCM.
So, correct option is 3.
So, correct option is 1.
So, correct option is 2.
So, correct option is 4.
The answer is also attached in the answer area.
Answer:
x = 8
y = 11
Step-by-step explanation:
Total small box weight = 50x [x being the number of small boxes]
Total large box weight = 80y [y being the number of large boxes]
Total boxes = x+y = 19
Total weight = 1280
<em>Determine x and y.</em>
<u>You know 2 equations. One for weight and another for number of boxes each.</u>
<u>Rewrite second equation:</u>
x+y=19
y=19-x
<u>You have to plug in one into another.</u>
1280 = 50x + 80(19-x)
<u>Solve for x</u>
1280 = 50x + 1520 - 80x
-240 = -30x
x = 8
<u>Solve for y by plugging in x into one of the equations:</u>
8+y = 19
y = 11
