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
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
if your multiplying this numbers your going to need to compare the common variables. Y and Y. X and X. and also the ones with no variables. you do that and that's your answer. you can't solve it to get one number, your going to simplify it You would combine like terms. The like terms in this equation are x and 4x, 2y and 3y, and 0 and 15. You would then multiply each like term. x*4x=4x 2y*3y= 6y and 15*0=0. Your answer would then be 4x * 6y *0.
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).
x - 2y = 04x - 3y = 15From the first equation, x = 2y.SUBSTITUTING this value of x in the second equation,4*(2y) - 3y = 15 ie 8y - 3y = 15 or 5y = 15 so that y = 3and then, x = 2y gives x = 2*3 = 6Answer: x = 6, y = 3
When solved: x = 6 and y = 3
If you mean: x-2y = 0 and 4x-3y = 15 Then they are simultaneous equations whose solutions are: x = 6 and y = 3
For y - 2y - 3y equals 0, y equals 0.
4x+2y-8=0 2y=8-4x y=4-2x slope= -2
4x + 3y=9 x=0 y=3
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
4x + 3y = 6y 4x = 3y 4/3 x = y The slope is 4/3 and the y intercept is 0.