Solution 1: 6(x) + 3(y) = 9
Solution 2: 2(x) + 3(y) = 1
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Your graphic organizer↓
3(y) + 6(x) = 9
3(y) + 2(y)= 1
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For the y-intercept; solution 2 ↓
"2" becomes a negative
3(y) which is equal to -2(x) + 1
Take off the "3" then this becomes y = [tex] \frac{-2(x)}{3} [/tex] + [tex] \frac{1}{3} [/tex]
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Moving on to the x-intercept ; the first solution
6(x) + 3 [tex]( \frac{-2(x)}{3} ) + \frac{1}{9} [/tex] = 9
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We can simplify to find the x-intercept
4(x) = 8
the x-intercept is 2
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Lastly, we are looking for the y-intercept
[tex] \frac{-2(x) }{3} + \frac{1}{3} = ? [/tex]
[tex] -\frac{2}{3} (2) + \frac{1}{3} = -1 [/tex]
So, the y-intercept is: -1
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Answer↓
[tex] \left \{ {{x=2} \atop {y=-1}} \right. [/tex]
x-intercept: 2
y-intercept: -1
