Question

Estimate the intersection point of the graphs of the following linear equations in two variables Y equals X plus 2Y equals negative X +6

Answer 1

To find the intersection point of the graphs of these two linear equations, we need to solve the system of equations:

Y = X + 2
Y = -X + 6

We can solve this system by substituting the second equation into the first equation:

X + 2 = -X + 6

Adding X to both sides:

2X + 2 = 6

Subtracting 2 from both sides:

2X = 4

Dividing both sides by 2:

X = 2

Now, substitute this value of X back into either of the original equations to find the value of Y. Let's use the first equation:

Y = X + 2
Y = 2 + 2
Y = 4

Therefore, the intersection point of the graphs of these two linear equations is (2, 4).