X/2 +3y = 6 . . . . . . . . starting point
x/2 = 6 -3y . . . . . . . . subtract terms that don't have x
x = 2(6 -3y) . . . . . . . . multiply by the inverse of the x-coefficient
x = 12 -6y . . . . . . . . . expand if you like

3y = 6 -x/2 . . . . . . . . subtract terms that don't have y
y = (6 -x/2)/3 . . . . . . . multiply by the inverse of the y-coefficient
y = 2 -x/6 . . . . . . . . . expand if you like

5 0

3 years ago

X+4Y=-8<br> find the x intercept:<br> find the y intercept: <br> graph the line.

galben [10]

Answer:

x-intercept = (-8, 0)

y-intercept = (0, -2)

Step-by-step explanation:

Given linear equation is: x + 4y = - 8

For x - intercept: Plug y = 0 in the above equation.

$\implies x +4(0) = -8\\\\\implies x +0 =-8\\\\ \implies x = -8\\\\ \boxed{\red{\bold{\implies x- intercept = (-8,\:0)}}}$

For y - intercept: Plug x = 0 in the given linear equation.

$\implies 0 +4y = -8\\\\\implies 4y=-8\\\\ \implies y = \frac{-8}{4}\\\\ \implies y = -2\\\\ \boxed{\purple{\bold{\implies y- intercept = (0,\:-2)}}}$

7 0

2 years ago