Question

Solve y= -x +2 and x-3y=18 on x and y axis

Answer 1

Solving the system of equations y = -x + 2 and x - 3y = 18 using the substitution method, we find the intersection point on the x and y axes to be (6.75, -4.75).

Step-by-step explanation:

The question asks to solve the system of linear equations y = -x + 2 and x - 3y = 18. To find the intersection point of these two lines represented by these equations, we can use either the substitution method or elimination method.

First, let's use the substitution method:

1. Leave the first equation as is since y is already isolated: y = -x + 2.
2. Rearrange the second equation to isolate x: x = 3y + 18.
3. Substitute -x + 2 from the first equation into y in the second equation: -(-x + 2) = x/3 + 18.
4. Solve for x: x = 6.75.
5. Use the value of x in the first equation to find y: y = -(6.75) + 2.
6. Calculate y: y = -4.75.

Therefore, the solution to the system of equations, or the point where the two lines intersect on the x and y axes, is (6.75, -4.75).