<h3>
Answer: (3, 0)</h3>
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Explanation:
Let's isolate x in the first equation.
x-2y = 3
x = 3+2y
Then we'll plug this into the second equation
Afterwards, solve for y.
2x + 4y = 6
2(3+2y)+4y = 6
6+4y+4y = 6
8y+6 = 6
8y = 6-6
8y = 0
y = 0/8
y = 0
Use this to find x.
x = 3+2y
x = 3+2(0)
x = 3
The solution is therefore (x,y) = (3, 0)
If you were to graph both lines, then they would intersect at the location (3,0).
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Checking the answer:
Plug x = 3 and y = 0 into the first equation.
x-2y = 3
3-2(0) = 3
3 - 0 = 3
3 = 3 that works
Repeat for the other equation
2x+4y = 6
2(3) + 4(0) = 6
6 + 0 = 6
6 = 6 that works as well
Both equations are true when (x,y) = (3,0).
The solution is confirmed.
24 cubic units for blank 1
Substitute in the 3 points to find the values.
<span>P(0,8) = 3(0) + 2(8) = 16 </span>
<span>P(5,4) = 3(5) + 2(4) = 15 + 8 = 23 </span>
<span>P(9,0) = 3(9) + 2(0) = 27 </span>
<span>Therefore (9,0) is the maximum value. </span>
Answer:
1:2
Step-by-step explanation:
What type of an equation?