Can you help me answer this question?
I have no idea how to do this...
1. Is (2,3) as solution of the system
3x +4y = 18
2x - y =1?
3x+4y=18
you just plug in 2 and 3..
3(2)+4(3)=18
6+12=18
18=18
so yes, (2,3) is the solution for the first problem.
2x-y=1
again, plug in 2 and 3..
2(2)-1=1
4-1=1
3=1
so no, it's not the solution for the problem
hope I helped!
wait, number two is wtong.. sorry!!
2. 2x-y=1
plug in 2 and 3..
2(2)-3=1
4-3=1
1=1
so yes, (2,3) is the solution to the problem
((:
Of course! I can help you with that. Let's start by checking if the point (2,3) is a solution to the system of equations:
1. The first equation is 3x + 4y = 18.
2. The second equation is 2x - y = 1.
To check if (2,3) is a solution, substitute x = 2 and y = 3 into both equations and see if they're true.
For the first equation:
3(2) + 4(3) = 18
6 + 12 = 18
18 = 18
The equation is true for the first equation.
Now, let's check the second equation:
2(2) - 3 = 1
4 - 3 = 1
1 = 1
The equation is also true for the second equation.
Since both equations are true when we substitute x = 2 and y = 3, we can conclude that (2, 3) is indeed a solution to the system of equations.
I hope this explanation was clear enough for you to understand how to check if a point is a solution to a system of equations. Let me know if you have any further questions!