<em>Answer:</em>
<em>y = - 5 ; x = 6</em>
<em>Step-by-step explanation:</em>
<em>-5y+4x= 49</em>
<em>7y+2x= -23 | × - 2</em>
<em />
<em>-5y+4x= 49</em>
<em>-14y - 4x = 46</em>
<em>___________ +</em>
<em>- 5y - 14y + 4x - 4x = 49 + 46</em>
<em>- 19y = 95 | × - 1</em>
<em>19y = - 95</em>
<em>y = - 95 : 19</em>
<em>y = - 5</em>
<em />
<em>- 5(-5) + 4x = 49</em>
<em>25 + 4x = 49</em>
<em>4x = 49 - 25</em>
<em>4x = 24</em>
<em>x = 24 : 4</em>
<em>x = 6</em>
Given:
The system of equations is
To find:
The missing value for which the given system of equations have infinitely many solutions.
Solution:
Let the missing value be k.
We have,
Taking all the terms on the left side, the given equations can be rewritten as
The system of equations 
and 
have infinitely many solutions if
We have,
Now,
On cross multiplication, we get
Therefore, the missing value is -10.
if the length is 8ft and the width is (7+x) then the area would be 56+8x, if x is unknown.
The answer for this problem would be x equal to 430 cm and y is equal to 325. This is computed by establishing the equations. This first equation based on first statement would be x = 15 + y and the second would be 5x = 3y + 525. Then it is solve as follows:
5x = 3y + 525
9514 1404 393
Answer:
A. ∠EAG and ∠BAC
Step-by-step explanation:
Vertical angles share a vertex and have opposite rays for sides.
Rays AE and AB are opposite; rays AG and AC are opposite. These are the only pairs of opposite rays in the figure, so the vertical angles must be constructed from one of the rays of the first pair and one of the rays of the second pair. ∠EAG and ∠BAC are a pair of vertical angles.
The other pair is ∠EAC and ∠BAG.
