He made his first mistake in step 5. He used the statement he was trying to prove as a reason.
hope that helps
3x - 4y = 35
3x + 4y = 5
------------------add
6x = 40
x = 40/6 which reduces to 20/3
3x - 4y = 35
3(20/3) - 4y = 35
20 - 4y = 35
-4y = 35 - 20
-4y = 15
y = -15/4
solution is (20/3, -15/4)
Answer:
<h2>60 ft long bc that would leave 10ft on each side of the banner...</h2>
Step-by-step explanation:
<h2>Hopes this helps. Mark as brainlest plz!</h2>
<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.
