How do I solve this by zeros method? I'm stuck

Question

X-3y=15 I need to solve it by zeros and graph it and 2x+3y=-6 is the other equations as well that I need to graph can someone help?

Answer 1

I am not exactly familiar with the term "zeros method", but it likely refers to identifying the x and y intercepts.

 

When x = 0,

(0) - 3y = 15

-3y = 15

y = -5

so, (0,-5) is one solution, known as the y-intercept

 

when y = 0

x - 3(0) = 15

x - 0 = 15

x = 15

(15,0) is another solution, known as the x-intercept

 

Once you have plotted the two points, (0, -5) and (15,0),  the line that connects them, stretching to infinity, is the solution to the equation.

 

 

Again, for the second equaiton, when x = 0

2(0) + 3y = -6

3y = -6

y = -2

(0,-2) is a solution

 

when y = 0

2x + 3(0) = -6

2x = -6

x = -3

(-3,0) is also a solution

Plot the points (0,-2) and (-3,0) , and the line connecting them is the complete solution set for the equation.

 

I hope this is what you are looking for.  I usually refer to this as the double-intercept method.