6x + 3y + 6y - 2x = (6x - 2x) + (3y + 6y) = 4x + 9y
5y - 2 + y + 52 = 6y + 50 - 3y6y + 50 = 9y + 50y = 0
2X + 6Y = 12 3X + 9Y = 18 try elimination - 3(2X + 6Y = 12) 2(3X + 9Y = 18) - 6X - 18Y = - 36 6X + 18Y = 36 ================= I will say this system is dependent and an infinite number of solutions can be found.
3x + 6y = 5 -6x + 9y = 4 multiply by 2 the first equation 2(3x + 6y = 5) -6x + 9y = 4 6x + 12y = 10 -6x + 9y = 4 add both equations 21y = 14 divide by 21 to both sides y = 14/21 simplify y = 2/3 3x + 6y = 5 replace 2/3 with x 3(2/3) + 6y = 5 2 + 6y = 5 subtract 2 to both sides 6y = 3 divide by 6 to both sides y = 1/2 Thus, the solution point is (1/2, 2/3).
4y - 6y + 9y = -2Combine like terms on the left side:7y = -2Divide each side by 7:y = -2/7The solution set is: { -2/7 }
It is an algebraic expression that can be simplified to: 5x+9y+5
9y-3y=6y; 6y+2y=8y; so your answer is 8y
6x + 3y + 6y - 2x = (6x - 2x) + (3y + 6y) = 4x + 9y
-4y
8 + 4 + 9y + 10 - 8x + 12xy - 3y = 0 12 + 10 + 9y - 8x + 12xy - 3y = 0 22 + 9y - 8x + 12xy - 3y = 0 9y - 3y - 8x + 12xy = -22 6y - 8x + 12xy = -22 6y + 12xy = 8x - 22 y(12x + 6) = 8x - 22 y(12x + 6)/12x + 6 = (8x - 22)/(12 + 6) y = 2((2^3 * x)/(12x + 6) - 22/(12x + 6) y = 2(2^2 * x - 11)/(12x + 6) y = 2(4x - 11)/2^2 * 3(2^1 * x + 1) y = 4x - 11/6(2 * x + 1) y = (4x - 11)/3(2x + 1) 8 + 4 + 10 - 8x + 9y + 12xy - 3y = 0 22 - 8x + 9y -3y + 12xy = 0 22 - 8x + 6y + 12xy = 0 x = -(6y + 22)/2(3y - 2) x = -(3y + 11)/2(3y - 2)
10y= 6y+5+3y 10y=6+9y y=6
(0,7)
5y - 2 + y + 52 = 6y + 50 - 3y6y + 50 = 9y + 50y = 0
2X + 6Y = 12 3X + 9Y = 18 try elimination - 3(2X + 6Y = 12) 2(3X + 9Y = 18) - 6X - 18Y = - 36 6X + 18Y = 36 ================= I will say this system is dependent and an infinite number of solutions can be found.
5x + 6y + 3y - 2x you have to add like terms. add the y terms and then the x terms 9y + 3x this is your answer
3x + 6y = 5 -6x + 9y = 4 multiply by 2 the first equation 2(3x + 6y = 5) -6x + 9y = 4 6x + 12y = 10 -6x + 9y = 4 add both equations 21y = 14 divide by 21 to both sides y = 14/21 simplify y = 2/3 3x + 6y = 5 replace 2/3 with x 3(2/3) + 6y = 5 2 + 6y = 5 subtract 2 to both sides 6y = 3 divide by 6 to both sides y = 1/2 Thus, the solution point is (1/2, 2/3).
4y - 6y + 9y = -2Combine like terms on the left side:7y = -2Divide each side by 7:y = -2/7The solution set is: { -2/7 }