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Sagot :
Given the following System of equations:
[tex]\begin{cases}Y=5x-10 \\ Y=3x+8\end{cases}[/tex]You need to follow the steps shown below in order to find the solution:
Step 1. Set the equations equal to each other:
[tex]5x-10=3x+8[/tex]Step 2. Solve for the variable "x":
[tex]\begin{gathered} 5x-3x=8+10 \\ 2x=18 \\ \\ x=\frac{18}{2} \\ \\ x=9 \end{gathered}[/tex]Step 3. Substitute the value of "x" into any original equation and evaluate, in order to find the value of the other variable. This is:
[tex]\begin{gathered} Y=5x-10 \\ Y=5(9)-10 \\ Y=45-10 \\ Y=35 \end{gathered}[/tex]The point is:
[tex](9,35)[/tex]Then, the solution is:
[tex]\begin{gathered} x=9 \\ Y=35 \end{gathered}[/tex]
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