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 linear equations y=-x+7 and y=4x-3, we need to solve the system of equations.
Setting the two y expressions equal, we have -x+7 = 4x-3.
Bringing like terms together, we have -7 = 5x - 3.
Adding 3 to both sides of the equation, we get -4 = 5x.
Dividing both sides of the equation by 5, we get x = -4/5.
Substituting this value of x into either of the original equations, we have y = -(-4/5) + 7 = 4/5 + 35/5 = 39/5.
Therefore, the intersection point of the graphs of the two linear equations is (-4/5, 39/5).