Question

5x + 3y = 35 -5x - y = -15

Answer 1

Solution 1: 5(x) + 3(y) = 35
Solution 2: -5(x) - (y) = -15
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Your graphic organizer↓
 -5(y) + 5(x) = 35 
(y) - 5(x) = -15
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Let's work with y-intercept with the absolute value of  |2|
So, 15 becomes a positive number instead of a negative number
→So, (y) = -5(x) + 15
→Make sure you bring into the "x-intercept"& the "y-intercept"  into the equation for the first solution 
                5(x) + 3(-5x) + 15 = 35 
                -10(x) = -10 
                      10(x) = 10 
                     x-intercept =1 
                   y-intercept = 10
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Make sure that we are correct with intercepts by these quick steps! 

y = -5(x) + 15 
 Y= 5(x) +15 
  y= 5(1) + 15 = 10
So, we are correct with the x and y-intercept 
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$\left \{ {{x=1} \atop {y=10}} \right.$

            x-intercept = 1 
            y-intercept = 10