8y = 4x -16
-x = -2y -4
Multiply all terms in the second equation by -1:
-x = -2y -4 x -1 = x = 2y +4
Now replace x in the first equation with this.
8y = 4(2y+4)
Simplify:
8y = 8y +16
Because there is an 8y on both sides of the equation, it cannot be solved.
The answer is no solution.
We can find area by calculating area of squre with side 27in minus area of square with side12in
15x + 2 = 45x + 4
Subtract 2 from both sides, as well as subtracting 45x from both sides.
15x - 45x = 4 - 2
-30x = 2
Divide both sides by -30.
x = 2/-30
x = - 1/15
~Hope I helped!~
This problem is an example of solving equations with variables on both sides. To solve, we must first set up an equation for both the red balloon and the blue balloon.
Since the red balloon rises at 2.6 meters per second, we can represent this part of the equation as 2.6s. The balloon is already 7.3 meters off of the ground, so we just add the 7.3 to the 2.6s:
2.6s + 7.3
Since the blue balloon rises at 1.5 meters per second, we can represent this part of the equation as 1.5s. The balloon is already 12.4 meters off of the ground, so we just add the 12.4 to the 1.5:
1.5s + 12.4
To determine when both balloons are at the same height, we set the two equations equal to each other:
2.6s + 7.3 = 1.5s + 12.4
Then, we solve for s. First, the variables must be on the same side of the equation. We can do this by subtracting 1.5s from both sides of the equation:
1.1s + 7.3 = 12.4
Next, we must get s by itself. We work towards this by subtracting 7.3 from both sides of the equation:
1.1s = 5.1
Last, we divide both sides by 1.1. So s = 4.63.
This means that it will take 4.63 seconds for both balloons to reach the same height. If we want to know what height that is, we simply plug the 4.63 back into each equation:
2.6s + 7.3
= 2.6 (4.63) + 7.3
= 19.33
1.5s + 12.4
= 1.5 (4.63) + 12.4
= 19.33
After 4.63 seconds, the balloons will have reached the same height: 19.33 meters.
300 messages would have to be sent or received in order for the plan to cost same each month.
Step-by-step explanation:
Given,
Cost per month = $30
Per text sent or received charges = $0.10
Let,
x be the number of texts sent or received.
A(x) = 0.10x+30
A comparable plan costs = $60 per month
Text messages are unlimited.
B(x) = 60
For the two plans to cost equal;
A(x) = B(x)
Dividing both sides by 0.10
300 messages would have to be sent or received in order for the plan to cost same each month.
Keywords: function, addition
Learn more about functions at:
#LearnwithBrainly
