Subtracting the second equation from first: 3x - y = 25 3x + 4y = 5 0x - 5y = 20 5y = -20 y = -4 Plugging y = -4 into either equation gives us x = 7, So x = 7 and y = -4
4
The given expression has no solution because without an equality sign it is not an equation.
If: 4x+3y-5 = 0 then y = -4/3x+5/3 Perpendicular slope: 3/4 Perpendicular equation: y--3 = 3/4(x--2) => 4y+12 = 3x+6 => 4y = 3x-6 In its general form: 3x-4y-6 = 0
x = 3/5 and y = 1/5
Subtracting the second equation from first: 3x - y = 25 3x + 4y = 5 0x - 5y = 20 5y = -20 y = -4 Plugging y = -4 into either equation gives us x = 7, So x = 7 and y = -4
15x - 3xy = 3x(5 - y) 20 - 4y = 4(5 - y) 15x - 3xy + 20 - 4y = (3x + 4)(5 - y)
Yes, x =7 and y = 4 is one of many solutions, if that is the only equation given.
The parallel equation works out as: 4y = 3x+1 which can be expressed in the form of 3x-4y+1 = 0
4
The given expression has no solution because without an equality sign it is not an equation.
If: 4x+3y-5 = 0 then y = -4/3x+5/3 Perpendicular slope: 3/4 Perpendicular equation: y--3 = 3/4(x--2) => 4y+12 = 3x+6 => 4y = 3x-6 In its general form: 3x-4y-6 = 0
x = 3/5 and y = 1/5
3x + 4y = 5To find the x-intercept, let x = 03(0) + 4y = 54y = 5y = 5/4The line passes through (0, 5/4), so y-intercept is 5/4.To find x-intercept, let y = 03x + 4(0) = 53x = 5x = 5/3The line passes through (5/3, 0), so x-intercept is 5/3.Plot (0, 5/4) and (5/3, 0). Draw a straight line through them.Or,3x + 4y = 53x - 3x + 4y = 5 - 3x4y = -3x + 54y/4 = (-3x + 5)/4y = (-3/4)x + 5/4So the slope will be -3/4 and the y-intercept is 5/4; (0, 5/4)We find the x-intercept when y = 0, so0 = (-3/4)x + 5/40 - 5/4 = (-3/4)x + 5/4 - 5/4-5/4 = (-3/4)x(-5/4)/(-3/4) = [(-3/4)x]/(-3/4)5/3 = x ; (5/3, 0)Thus, the line passes through the points (0, 5/4) and (5/3, 0).
3x - 4y = 7 Try to find by trial and error what numbers you can put in for "x" and "y" to get 7 Your answers are x=5 and y=2 Check to see if these are correct... 3(5) - 4(2) = 7 15 - 8 = 7 7-7 Correct!
Add the two equations and get 4x = 12 so x = 3 and y = -1
It works out: 4y = -3x+23