estimate the intersection point of the graphs of the following linear equations in two variables.
y = -x + 7
y = 4x - 3
To find the intersection point of the graphs of the two linear equations, we can set the two equations equal to each other and solve for x:
-x + 7 = 4x - 3
Add x to both sides:
7 = 5x - 3
Add 3 to both sides:
10 = 5x
Divide by 5:
x = 2
Now that we have found the x-coordinate of the intersection point, we can substitute this value back into either equation to find the y-coordinate:
y = -2 + 7
y = 5
Therefore, the intersection point of the two graphs is (2, 5).