Using linear combination method, the solution to given system of equations are (-7, -15)
<h3><u>Solution:</u></h3>
Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated
Addition is used when the two equations have terms that are exact opposites, and subtraction is used when the two equations have terms that are the same.
<u><em>Given system of equations are:</em></u>
2x - y = 1 ---- eqn 1
3x - y = -6 ------ eqn 2
Subtract eqn 2 from eqn 1
2x - y = 1
3x - y = -6
(-) -------------
-x = 7
<h3>x = -7</h3>
Substitute x = -7 in eqn 1
2(-7) - y = 1
-14 - y = 1
y = -14 - 1 = -15
<h3>y = -15</h3>
Thus the solution to given system of equations are (-7, -15)
Answer:
Step-by-step explanation:
There are <u>6</u><u> different shapes</u>
You want the outcome to be a Nonagon
You put the outcome as a ratio 1/6
1/6=0.1666667
0.1666667*100=16.6667%
<u>Chance of pulling out a </u><u>nonagon</u>
Answer:
<em>P'(3,-7) Q'(7,6) R'(-8,-7).</em>
Step-by-step explanation:
<u>Reflection across the x-axis</u>
Given a point P(x,y), its reflection across the x-axis will map to point P'(x,-y), i.e., the y-coordinate gets inverted.
We are given the vertices of a triangle P(3,7) Q(7,-6) R(-8,7). The vertices of the image reflected across the x-axis are:
P'(3,-7) Q'(7,6) R'(-8,-7).
The new triangle has vertices P'Q'R'.
Answer:
-4
Step-by-step explanation:
1-5=-4 (7.1+1)-5=3.1
