Pick 2 pairs of equations t<span>hen use addition and subtraction to eliminate </span>the same variable<span> from both pairs of equations then it is left with 2 variables
</span>Pick two pairs
<span><span>4x - 3y + z = - 10</span><span>2x + y + 3z = 0
</span></span>eliminate the same variable from each system
<span><span>4x - 3y + z = - 10</span>
<span>2x + y + 3z = 0</span>
<span>4x - 3y + z = - 10</span>
<span>-4x - 2y - 6z = 0</span>
<span>-5y - 5z = - 10</span>
<span>2x + y + 3z = 0</span>
<span>- x + 2y - 5z = 17</span>
<span>2x + y + 3z = 0</span>
<span>-2x + 4y - 10z = 34</span>
<span>5y - 7z = 34
</span></span>Solve the system of the two new equations:
<span><span>-5y - 5z = - 10</span>
<span>5y - 7z = 34</span>
<span>-12z = 24</span>
which is , <span>z = - 2</span>
<span>-5y - 5(- 2) = - 10</span>
<span>-5y = - 20</span>
wich is , <span>y = 4
</span></span>substitute into one of the original equations
<span>- x + 2y - 5z = 17</span>
<span>- x + 2(4) - 5(- 2) = 17</span>
<span>- x + 18 = 17</span>
<span>- x = - 1</span>
<span>x = 1</span>
<span>which is , </span><span>(x, y, z) = (1, 4, - 2)</span><span>
</span>Does 2(1) + 4 + 3(- 2) = 0<span> ? Yes</span><span>
</span>
Answer:
Step-by-step explanation:
use known angles and rules to find unknown values
vertical angles (pairs of angles on opposite sides of an intersection) are equivalent
supplementary angles (angles found next to each other on a line) add up to 180 degrees
opposite interior angles are equivalent
And I don't remember the name of this kind of angle, but angle 1 and 10 are equivalent because they are found on the same "location"
using these rules you can find all missing angles.
1= 75
2=180-75=105
let me know if you need more help than this
Answer:
4.821 ounces
Step-by-step explanation:
To figure out the amount that is <em>not </em>apple juice, you have to subtract the amount of apple juice, 1.729 ounces, from the total amount of mixed fruit juice, 6.55 ounces, to get the remainder of 4.821 ounces.
The line segment is translated to the left across the square.
although an image would be useful
Answer: 2 and 4
Step-by-step explanation: the quick way is by dividing all the answer options
