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pychu [463]
3 years ago
11

To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry d

ecided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this? because the system of equations actually has only one solution because the system of equations actually has no solution because the graphs of the two equations overlap each other because the graph of one of the equations does not exist
Mathematics
1 answer:
vesna_86 [32]3 years ago
3 0

Answer:

because the graphs of the two equations overlap each other

Step-by-step explanation:

when two graphs have the same line, the line overlaps so it looks like only one line. therefore, the answer is

C) because the graphs of the two equations overlap each other.

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2 years ago
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3 years ago
Solve the simultaneous equations by substitution<br> 4x+3y=-2<br> 3y=4-x
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Step-by-step explanation:

I decided that isolating the y value of the second equation is the best way to start solving.

I divide 3 from both sides to get y= (4-x)/3. With this, I can substitute into the first equation. 4x+3(4-x)/3)=-2.

The multiplying the 3 by the denominator three cancels each other out to make:

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I hope you learned something :)

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