<h3>
Answer: D) infinitely many solutions</h3>
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Explanation:
Let's solve the first equation for y
4x - 2y = 6
4x-6 = 2y
2y = 4x-6
y = (4x-6)/2
y = (4x/2) - (6/2)
y = 2x - 3
After doing so, we see that 4x-2y = 6 is equivalent to y = 2x-3
Therefore, the original system of equations is effectively listing the same equation twice (one has a different form compared to the other).
Both equations in this system produce the same graph, which leads to infinitely many solutions. All solutions are on the line y = 2x-3.
You can say that all solutions are in the form (x, 2x-3) where x is any real number you want.
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Here's another approach using substitution
4x - 2y = 6 ... start with the first equation
4x - 2( y ) = 6
4x - 2( 2x-3 ) = 6 .... replace y with 2x-3; ie plug in y = 2x-3
4x - 2(2x) - 2(-3) = 6
4x - 4x + 6 = 6
0x + 6 = 6
0 + 6 = 6
6 = 6
We get a true statement. The last equation is always true regardless of what we plug in for x, so this is another way to see how we get to infinitely many solutions.
Side note: the system is considered dependent since one equation depends on the other. The system is also consistent since it has at least one solution.
Answer: Joe would have 7 apples.
Step-by-step explanation:
Joe had 2 apples, and he got 5 more. Because of this, we have to do 2 + 5.
2 + 5 = 7
<em>Joe would have 7 apples.</em>
Answer: C. Copy an angle by creating arcs with a compass.
Step-by-step explanation: 1. Use straightedge to draw a transversal through point N which is straight line passes through M and intersects with given line.
2. Construct a copy of the angle formed by the transversal and the given line such that the copy will be located at point M such that he vertex of the copied angle will be point M.
3. Draw the line to complete the angle copy which will be a XY line parallel to the given line AB.
12 x 9 = 108
2 x 9 = 18
108 + 18 = 126
answer
<span>126 in² (3rd choice)</span>
Answer:volume is what makes up the space
Step-by-step explanation:lenth times width times height
