Determine the point of intersection between the lines with equations x+3y=5 and 3x−2y=26.

(8,-1)

Step-by-step explanation:

The point of intersection can be found out by solving the system of equations.

x + 3y = 5

3x - 2y = 26

Multiply (1) by 3 :-

→ 3 ( x + 3y ) = 5 × 3

→ 3x + 9y = 15

Subtracting 3(1) and 2 :-

→ 3x + 9y - 3x +2y = 15 - 26

→ 11y = -11

→ y = (-1)

Put it in 1 :-

→ x -3 = 5

→ x = 3 + 5

→ x = 8

details

step-by-step explanation:

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).