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:
4/3
Step-by-step explanation:
Slope is rise/run so find two points and find the rise/run. (0,-1) and (4,2) so the slope would be 4/3
First, multiply both sides by 88, because you can divide 88 by 22. That final would be 3k*88/22 = -13. Simplified, that would be 12k = -13. Divide both sides by 12, making the final answer k = -12/13, or in decimal form 1.08333...
Consider the expression below:
1. Sum:
(4x+2) denotes the sum of '4x' and '2' in the given expression.
2. Product
7y and 5(4x+2) denotes the product in the given expression. '7y' denotes the product of '7' and 'y' whereas 5(4x+2) denotes the product of '5' and (4x+2).
3. Factor
Not present
4. Quotient
denotes the quotient in the given expression.
5. Coefficient
'20' is the coefficient of 'x' and '7' is the coefficient of 'y'.
