159k views
0 votes
Solving Systems by Substitution Day 11. x=3y-10x=2y-5Word bank: (5,-2) (5,5) (2,6) NO SOLUTION INFINITE SOLUTIONS (11, 13) (-2,-6) (0,0) (2.-6) (6,2)

User Pungggi
by
4.2k points

1 Answer

3 votes

\begin{gathered} x=3y-10\ldots(1) \\ x=2y-5\ldots(2) \\ \text{substitute the value of x from equation (2) into equation (1)} \\ 2y-5=3y-10 \\ y=5 \\ \text{Substitute the value of y in the equation (2)} \\ x=2*5-5 \\ x=10-5 \\ x=5 \\ So,\text{ (5,5)} \end{gathered}

User Igor Zilberman
by
5.0k points