I am in dire need of some help I am not understanding this at all
I am to solve the systems of equations by graphing
2x-y=14
2x+3y=-10
Could someone please explain this to me in dummy terms
Certainly! Solving a system of equations by graphing involves graphing both equations on the same coordinate plane and finding the point where the two graphs intersect. This point represents the solution to the system.
To get started, let's graph each equation step by step:
1. Equation 1: 2x - y = 14
To graph this equation, we need to convert it into the slope-intercept form y = mx + b, where m represents the slope and b represents the y-intercept.
Let's solve for y:
2x - y = 14
-y = -2x + 14
y = 2x - 14
Now we have the equation in slope-intercept form. We can start graphing by plotting the y-intercept, which is -14, on the y-axis.
2. Equation 2: 2x + 3y = -10
Similarly, let's convert this equation into slope-intercept form by solving for y:
2x + 3y = -10
3y = -2x - 10
y = (-2/3)x - 10/3
Again, we have the equation in slope-intercept form. Now, we can graph this equation by plotting the y-intercept, which is -10/3, on the y-axis.
After graphing both equations on the same coordinate plane, you should have two lines. To find the solution to the system, look for the point where the two lines intersect. This point represents the x and y values that satisfy both equations.
It's important to note that solving the system of equations by graphing can sometimes give an approximate solution, especially if the lines are close or intersect at decimal values. In such cases, it's best to check your answer with other methods like substitution or elimination to get an exact solution.