I assume you mean,
X - 2Y = 0
4X - 3Y = 15
this is set up for substitution, use ( X - 2Y = 0)
X - 2Y = 0
X = 2Y
----------substitute into ( 4X - 3Y = 15 ) to find Y
4(2Y) - 3Y = 15
8Y - 3Y = 15
5Y = 15
Y = 3
---------find X in ( X - 2Y = 0 )
X - 2(3) = 0
X - 6 = 0
X = 6
---------------check in both original equation
6 - 2(3) = 0
6 - 6 = 0
0 = 0
-----------checks
4(6) - 3(3) = 15
24 - 9 = 15
15 = 15
----------------both check and are consistent
(6, 3) is the solution set
Chat with our AI personalities
eq. 1 is x-2y=0 which means x=2y eq. 2 is 4x-3y=15 subst. x=2y in eq. 2 4(2y)-3y=15 8y-3y=15 5y=15 y=3 subst. y=3 in eq. 1 we get x=2(3) x=6 Ans: x=6 and y=3 is the required solution. Thank you.
The ordered pair is (6, 3).
For y - 2y - 3y equals 0, y equals 0.
First put in this form. Y = mX + c4X - 3Y - 12 = 04X - 3Y = - 12- 3Y = - 4X - 12Y = (4/3)X + 4===========Points are,(- 3, 0 ) and ( 0, 4 )You do not have the full question yet since this question has infinite answers.4x - 3y - 12 = 04x = 3y + 12If the question only gives this one equation, you can substitute any number into x to get a corresponding answer.Let's say x = 14(1) = 3y - 124 = 3y - 1216 = 3yy = 5.33 (3 sig fig)Suppose there is another part to this statement: 4x - 3y - 12 = 0 an 3x = 2y3x = 2yx = 2y/3 (choose either of the equations [3x = 2y, since it is easier] and separate either of the letters ["x"] from the other things [other letters and any numbers]Substitute x = 2y/3 into 4x = 3y + 124 (2y/3) = 3y + 128y/3 - 3y = 12-1y/3 = 12-y = 36y = -36Substitute y = -36 into 3x = 2y (easier)3x = 2(-36)3x = -72x = -24The interception point is (-24,-36). [note that 2 straights lines will either intercept on 1 point (most cases), never (parallel lines with same gradient) or infinite times (same line)]
Normally, this is a difficult form of the equation to deal with. To change it into a more familiar form, we can do this: 4x + 3y = 0 3y = -4x y = (-4/3)x