Answer :
Let's solve the system of equations:
[tex]$ \begin{aligned} 1.\quad 2.5y + 3x &= 27 \\ 2.\quad 5x - 2.5y &= 5 \end{aligned} $[/tex]
We want to find the result of adding these two equations.
First, let's write both equations in a more convenient form:
[tex]$ \begin{aligned} 1.\quad 2.5y + 3x &= 27 \\ 2.\quad 5x - 2.5y &= 5 \end{aligned} $[/tex]
When we add these two equations together, we sum both left-hand sides and both right-hand sides:
[tex]$ (2.5y + 3x) + (5x - 2.5y) = 27 + 5 $[/tex]
Simplify the left-hand side:
[tex]$ 2.5y + 5x - 2.5y + 3x = 8x $[/tex]
Combine like terms:
[tex]$ 8x = 32 $[/tex]
This equation represents the result of adding the two given equations together. Therefore, the correct result is:
[tex]$ 8x - 32 = 0 $[/tex]
[tex]$ \begin{aligned} 1.\quad 2.5y + 3x &= 27 \\ 2.\quad 5x - 2.5y &= 5 \end{aligned} $[/tex]
We want to find the result of adding these two equations.
First, let's write both equations in a more convenient form:
[tex]$ \begin{aligned} 1.\quad 2.5y + 3x &= 27 \\ 2.\quad 5x - 2.5y &= 5 \end{aligned} $[/tex]
When we add these two equations together, we sum both left-hand sides and both right-hand sides:
[tex]$ (2.5y + 3x) + (5x - 2.5y) = 27 + 5 $[/tex]
Simplify the left-hand side:
[tex]$ 2.5y + 5x - 2.5y + 3x = 8x $[/tex]
Combine like terms:
[tex]$ 8x = 32 $[/tex]
This equation represents the result of adding the two given equations together. Therefore, the correct result is:
[tex]$ 8x - 32 = 0 $[/tex]
