How to solve thus through substitution method. please do it step by step

Mathematics

2 answers:

Step2247 [10]3 years ago

8 0

Hey there!

To start, first solve the equation of -2x + 3y =4 for the value of x since the coefficients appear to be smaller and easier to work with than the equation 4x- 6y= 9.

To solve -2x+3y=4 for x, first subtract both sides by 3y to isolate -2x:
-2x+3y=4
-2x=-3y+4

Now, divide both sides by -2 to isolate or solve for the x variable:
-2x=-3y+4
x=3/2y-2

Now that you have x set equal to the expression 3/2y-2, substitute this value for x in the equation 4x-6y=9:
x=3/2y-2
4x-6y=9
4(3/2y-2)-6y=9

Now, simplify this expression and combine your like terms:
4(3/2y-2)-6y=9
(4*3/2y)+(4*-2)-6y=9
6y-8-6y=9
-8=9

Because you end up in an untrue mathematical statement, your answer would be that there are no real solutions for this system.

Hope this helps and have a marvelous day! :)

andrew11 [14]3 years ago

8 0

4x-6y=9
2x+3y=4

4x=9+6y
X=9/4+6y/4
2(9/4+6y/4)+3y=4
18/4+12y/4+3y=4
9/2+6y=4
6y=8/2- 9/2
6y= -1/2
y= -1/12 x= 17/8

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X+y=1<br> x+3y=9<br><br> Solve<br> (First answer gets brainliest)

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X + y = 1
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Subtract the second equation from the first.
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Plug 4 back into either equation and solve for x.
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subtract 4 from each side
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Step-by-step explanation:

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With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:

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We now know that $m = \frac{5}{2}$ for the first line, which means that the slope of the second line is $m = \frac{-2}{5}$ . With this, we have the following equation for our new line: