Estimate the intersection point of the graph of the following linear equations in two variables
y=-x+7
y=4x-3
To find the intersection point of the two linear equations, we can set them equal to each other and solve for x:
-x + 7 = 4x - 3
7 + 3 = 4x + x
10 = 5x
x = 2
Now that we have found the value of x, we can substitute it back into either of the original equations to find the corresponding y-value. Let's use the first equation:
y = -2 + 7
y = 5
Therefore, the intersection point of the two linear equations is (2, 5).