Answer:
The solution of the linear equation is: (6,7)
Step-by-step explanation:
This being that:
x + y = 13
1/2x + y = 10
What you do in order to find the solution is either (2 ways):
- Substitution
- Elimination
I'm sure that either way, you'll get the same thing. I used: Substitution.
To do this choose either if you want to find [x] or [y] first, then substitute it in. I will choose to find [x] first.
<h2>x + y = 13</h2><h2><u> - y </u> </h2><h2>x = 13 - y</h2>
Now substitute it into:
1/2x + y = 10
1/2(13 - y) + y = 10
1/2(13 -y) + y= 10
<h2>Then to get rid of fraction, instead of dividing, you multiply with reciprocal</h2><h2>1/2 · 2/1 (They cancel out) Leaving you with:</h2><h3 /><h3>(13 - y) 2(y) = 2(10)</h3><h3>(Everything is multiplied, except for 13 - y, because it had parenthesis to protect it.)</h3><h3>13 - y + 2y = 20</h3><h3 /><h2>13 + y = 20</h2><h2><u>- 13 - 13</u></h2><h2> <u>y = 7</u></h2><h2 /><h2>You now have your [y] for your coordinate.</h2><h2>(x, 7), now time to find your [x]</h2><h2 />
Now you substitute your [y] into your equation:
1/2x + (7) = 10
<h2>
1/2x + 7 = 10</h2><h2><u>
-7 = -7</u></h2><h2>
1/2x = 3</h2><h2>
(To get rid of fraction, multiply on both sides with reciprocal)</h2><h2>
1/2 cancels out with 2/1</h2><h2>
x = 2(3)</h2><h2>
x = 6</h2><h2>You now have your [x] coordinate.</h2><h2 /><h2>This is your coordinate: </h2><h2>(6,7)</h2><h2>
</h2>
Answer:
3(x+8)
Step-by-step explanation:
In order to factor the expression completely, you need to find the greatest common factor of both numbers, which would be 3 because 3 fits in both numbers without leading to weird decimals or fractions.
3(x+8) is the answer.
I think the question is missing some details. I found a similar question with an image as i attached in this question.
From this image, it its clear that m1, m2 and m3 refers to the angles in the middle of the rhombus
Answer:
x = 9
y = 81
z = 5
Step-by-step explanation:
Note that in rhombus, all sides are the same. If the diagonal lines are made, it will create 4 division of angles of 90 degrees.
Therefore m1 = m2 = m3 = 90 degrees
m1 = 10x and m1 =90
So, 10x = 90. Rearrange it to get x = 90/10 = 9
x = 9
m2 = x + y and m2 = 90
So, x + y = 90
9 + y = 90
y = 90 - 9 = 81
m3 = 18z and m3 = 90
So, 18z = 90
z = 90/18 = 5
So about 2 inches or 5 inches
Answer:
The anwser is always Jesus
Step-by-step explanation:
Also there is no following
