Hey there!
y = -2x + 19
y = x + 7
We gonna solve this system of equation by using the substitution method.
We wanna solve y = -2x + 19 for y
Let start by substitute -2x + 19 for y in y = x + 7
y = x + 7
-2x + 19 = x + 7
Subtract x from both sides
-2x + 19 - x = x + 7 - x
-3x + 19 = 7
Now subtract 19 on both sides
-3x + 19 - 19 = 7 - 19
-3x = -12
Then divide both sides by -3
-3x/-3 = -12/-3
x = 4
We have the value of x. Now we gonna use that same value to find the value for y.
We gonna do that by substitute 4 for x in y = -2x + 19
y = -2x + 19
y = -2(4) + 19
y = -8 + 19
y = 11
Thus,
The answer is: x = 4 and y = 11
Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!
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A). 23
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Positive 8
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First question the answer is the third one, 4*4*4*4*4
Second: Part A
I think one side is 25 yards, so answer is 25². that makes the area of the chicken pen to be 625 sqaure yards.
Part B a yard is exactly three feet, so the power becomes 75², and the area is 5625 square feet.
third question: not sure what the only use once is, but 2^4 and 4² could be the first one, they both equal 16. The second could be 3^4 and 9^2, which are both 81.