Question

Is (1,2) the point of intersection of y=3x-1 and y=-x+3?​

Answer 1

Answer:

yes

Step-by-step explanation:

Solving the 2 equations to find the point of intersection

y = 3x - 1 → (1)

y = - x + 3 → (2)

Since both equations express y in terms of x, equate the right sides

3x - 1 = - x + 3 ( add x to both sides )

4x - 1 = 3 ( add 1 to both sides )

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 into either of the 2 equations for corresponding value of y

Substituting x = 1 in (2)

y = - 1 + 3 = 2

Thus (1, 2) is the point of intersection