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garydesir1
Good morning

4x + 9y = 16
6x - 9y = 8

We need to solve 4x + 9y = 16 for x
4x = 16 - 9y
Divide both sides by 4
4x/4 = (16-9y)/4
x = -9/4 y + 4
Now substitute -9/4 y + 4 for x in 6x - 9y = 8
6x - 9y = 8
6(-9/4 y + 4) -9y = 8
-45/2 y + 24 = 8
-45/2 y = 8 - 24
-45/2 y = -16
y = -16/-45/2
y = 32/45
Since we have y now, it will be easy to find x
Substitute 32/45 for y in x = -9/4 y + 4
x = -9/4 y + 4
x = -9/4 (32/45) + 4
x =  -8/5 + 4
x = 12/5


Thus, your answer is : 12/5; 32/45


I hope that's help ! Feel free to ask me any further questions about the answer.

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Amphitrite1040
↔Start of with your 'solution section' to make sure you have the right things↔

↔Solution 1 ➡ 4(x) + 9(y) = 16  

↔Solution 2 ➡ 6(x) - 9(y) = 8
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▪Looking for the value of the 'x'-intercept ⬇▪

◾4 (3) (y) / 2 + 4/ 3 + 9(y) = 16  
◾15(y) = 32 / 3  
◾ 45(y) = 32

▪x-intercept: 32
-----------------------------------------------------------------
◾Looking for value of the 'y'-intercept ◾

◾45(y) = 32   

◾y-intercept : 45

 ◾x = 3(y)/2+4/3 which is translated to this, am i correct? ➡ (y) = 32/45
-----------------------------------------------------------------

↪ Now, we have finally found both of their intercept ⬇

↪x-intercept: 12

↪y-intercept: 5

↪Or you can even say the intercepts in other words. Here's what I am talking about if in case you don't know what I am saying

↪x-intercept: 32✅

↪y-intercept✅

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