Question

Convince me that (-3, 1) is the solution to this system of equations

y = 1/2x + 2.5
y = - 2/3x - 1

Answer 1

see explanation

Explanation:

substitute the x- coordinate x = - 3 into both equations and if the value of y obtained is 1 for both equations ( y- coordinate of point ) then it is a solution

y =
`(1)/(2)` (- 3) + 2.5 = - 1.5 + 2.5 = 1 ← true

y = -
`(2)/(3)` (- 3) - 1 = 2 - 1 = 1 ← true

then (- 3, 1 ) is a solution to the system