Graph the equations below accurately. Find the point of intersection of the two lines. You will type your x value in the first part and the y value in the second part of the question. If the answer if no solution then type NS in both parts and if the the answer is infinite solutions then type I in both parts.
y = 5x - 7
y = 6x +2
What is the x value?
well right off you see where they cross
5x-7 = 6x+2
so
-9 = 1 x so x is -9 at the intersection
then at that intersection
y = 6x+2 = -54 + 2 = -52
You can check that with the other equation
y = 5x-7 = -45 - 7 = -52 sure enough
wait so the x value is ____
To find the x-value of the point of intersection, we need to solve the system of equations. Here are the steps to find the x-value:
Step 1: Write down the given equations:
Equation 1: y = 5x - 7
Equation 2: y = 6x + 2
Step 2: Set the two equations equal to each other:
5x - 7 = 6x + 2
Step 3: Simplify the equation:
Subtract 5x from both sides:
-7 = x + 2x
Combine like terms:
-7 = 3x
Step 4: Isolate the variable x:
Divide both sides by 3:
x = -7/3
Therefore, the x-value of the point of intersection is -7/3.
Now, please provide the y-value part of the question.