4x+3y = 6 3y = -4x+6 y = -4/3x+2 in slope intercept form
x + 3y = 2 2x - 3y = 22 Add the two equations: 3x = 24 Divide both sides by 3 to give x= 8. Substitue this value of x in the first equation to give 8 + 3y = 2 Subtract 8 from both sides: 3y = -6 Divide both sides by 3: y = -2 Solution: (X, y) = (8, -2)
x = 3y - 3 so 6 (3y - 3) + 2y = -12 ie 18y - 18 + 2y = -12 ie 20y = 6 so y = 0.3 and x = -2.1
by not concentrating on picking your nose when you are in class all day long
x = 5 y = 2 4x - 3y = ? 4(5) - 3(2) = ? 20 - 6 = 14
x = 8y = 6(5x8) + (3x6) = 58(5x8) - (3x6) = 22
2x-11
The ordered pair is (-1, -7).
Collect like terms: 2x + 3y + 3y - 5 - 6 2x + 6y - 11
2y + 3 = 3y + 9 2y - 3y = 9 - 3 or -y = 6 so y = -6
y=2
10y= 6y+5+3y 10y=6+9y y=6
4x+3y = 6 3y = -4x+6 y = -4/3x+2 in slope intercept form
Simple system. X + 3Y = 2 2X - 3Y = 22 ------------------------add 3X = 24 X = 8 --------------------now, insert back into one of the equations to find Y 8 + 3Y = 2 3Y = - 6 Y = - 2 ----------------check both equations 8 + 3(- 2) = 2 2 = 2 ---------------top checks 2(8) - 3(- 2) = 22 16 + 6 = 22 22 = 22 ----------------both are consistent, so X = 8 Y = - 2
5y = 3y + 12 5y - 3y = (3y - 3y) + 12 2y = 12 y = 6
(1, 1)
Multiply first equation by 1.5, giving 3x + 3y = 12, but we are told that 3x + 3y = 6. If there isn't an error in the question then 2 = 1!