To find the solution to the system of equations, we need to find the point where the two equations intersect, since that is where the values of x and y satisfy both equations simultaneously.
To find the intersection point, we can set the two equations equal to each other:
3x + 2 = -2x - 3
Adding 2x to both sides gives: 5x + 2 = -3
Subtracting 2 from both sides gives: 5x = -5
Dividing both sides by 5 gives: x = -1
Now, we can substitute this value of x back into one of the equations to find the corresponding value of y:
Using the first equation y = 3x + 2, when x = -1:
y = 3(-1) + 2
y = -3 + 2
y = -1
So, the solution to the system is x = -1 and y = -1.
The graph of the system will show two lines intersecting at the point (-1, -1).
a system of equations and its graph are shown.
y=3x + 2
y= - 2x - 3
which is the solution to the system?
1 answer
1 answer