<em><u>True staments are:</u></em>
The y-variable will be eliminated when adding the system of equations
There is only one solution to the system of equations
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
x + 6y = 16 ----- eqn 1
8x - 6y = -2 ---- eqn 2
We have to solve the system of equations
When we add eqn 1 and eqn 2, then y term will get eliminated
Let us add eqn 1 and eqn 2
x + 6y + 8x - 6y = 16 - 2
6y and -6y will get eliminated
Thus, y-variable will be eliminated when adding the system of equations
x + 8x = 14
9x = 14
x = 1.55
Substitute x = 1.55 in eqn 1
1.55 + 6y = 16
6y = 16 - 1.55
6y = 14.45
y = 2.408
Thus the solution is x = 1.55 and y = 2.408
There is only one solution to the system of equations
