Question

Using substitution, identify the ordered pair that is an element of the solution set of the system of equations. 5x + 2y = 10 3x + y = 6

Answer 1

Given a system of equations 5x+2y=10 and 3x+y=6.

From the second equation, we have y=6-3x. Now, substitute y=6-3x in the first equation and solve as follows:

`\begin{gathered} 5x+2(6-3x)=10 \\ 5x+12-6x=10 \\ -x=10-12 \\ -x=-2 \\ x=2 \end{gathered}`

If x=2, then y=6-3(2)=6-6=0.

Thus, the ordered pair is (2,0)