<h3>
Answer: The approximate solution is (-0.36, 2.08).</h3>
Step-by-step explanation:
Given system of equations :
x+5y=10 and 3x+y=1.
Let us solve the system of equation by substitution.
Solving second equation 3x+y=1 for y first.
3x+y=1.
Subtracting 3x from both sides, we get
3x-3x+y=1-3x
y = 1-3x.
Substituting y=1-3x in first equation x+5y=10, we get
x+ 5(1-3x) = 10.
x + 5 -15x =10
-14x +5 = 10.
Subtracting 5 from both sides, we get
-14x +5-5 = 10-5
-14x =5
Dividing by -14 on both sides, we get
-14x/-14=5/-14
x= -0.36.
Plugging x=-0.36 in second equation y=1-3x, we get
y = 1-3(-0.36) = 1+1.08 = 2.08.
<h3>Therefore, approximate solution is (-0.36, 2.08).</h3>
Red lined an example of your problem would help
Start at 5/6 on the number line. Move 11/6 spaces to the left (11/6 is negative; if you are adding a negative number, move to the left). You should land on -1.
Answer:
C. pentagon
Step-by-step explanation:
Since it has 5 points, it is most likely a pentagon.
a. Does her equation make sense?
If so, explain why her equation must be true. If it is not correct, determine what is incorrect and rewrite the equation.
b. If you have not already done so, solve her equation, clearly showing all your steps.
What are the measures of the two angles?
c. Verify that your answer is correct.
The figure is attached below
Given : (2x+1) + (x-10) = 90
(a) Yes , the equation make sense because right angle is 90 degree. Also two angles make up 90 degree.
(b) solve for x, (2x+1) + (x-10) = 90
2x+1 + x-10 = 90 ( combine like terms)
3x -9 = 90 (add 9 on both sides)
3x = 99
x = 33
One angle is 2x+1 = 2(33) +1 = 67 degrees
Another angle = x-10 = 33-10 = 23 degrees
(c) one angle + another angle = 90
67 + 23 = 90
So verified