5(-2)+(-3)(-4)
=-(10)+12
=2
(1) 5x+y=-12 (2) 7x-3y=-30 From (1) one gets y = -12-5x Put into (2) 7x-3y = 7x -3 (-12-5x) = 7x + 36 +15 x = 22x +36=-30 22x = -30-36 = -66 so x = -3 and y=-12-5x = -12-5x-3= 3 The solution is (-3,3)
y = 5x + 3When x=2,y = 5(2) + 3 = 10 + 3 = 13
First get y in terms of x: 5x-2y=-12 ----- -2y=-12-5x ------ y=6+(5/2)x Sub into other equation: 2x+3y=-1 ---- 2x+3(6+(5/2)x)=-1 Solving for x gets: x= -2 Sub into other equation: 5x-2y= -12 --- 5(-2)-2y= -12 --- y=1 So x= -2, and y= 1
5x - 3y -7x + 2y +3x = (5-7+3)x + (-3+2)y = x - y
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)
5x+y = 2 5x-3y = 14 Subtract the bottom equation from the top equation: 4y = -12 y = -3 Substitute the value of y into the original equations to find the value of x: So: x = 1 and y = -3
5x -3y = -6 -3y = -5x -6 y = 5/3x+2 in slope intercept form
2
x=2 y=7 5x+3y= 5 7 x 2 x 3 ____ _____ 10 21 21 + 10 _______ 31
3y = -5x+2 y = -5/3x+2/3 The gradient is -5/3 and the y intercept is 2/3
If 5x plus 3y equals 13, the x equals 2 and y equals 1. This is because 5x2=10 and 3x1=3, and 10+3=13.
7x + 3y = 14 5x + 9y = 10 __________ (subtract bottom from top) 2x -6y = 4, therefore 2x = 4 + 6y, therefore x = 2 + 3y Insert x = 2 + 3y into the original equation and calculate 7(2 + 3y) +3y = 14 14 + 21y +3y = 14 24y = 0 y = 0 If y= 0, then x = 2 FINAL ANSWER!
x=-2, y=2
equation is 3y = 5x + 2 standard form is y = mx + b m is the slope adjust the formula for y y = (5/3)x +2/3 slope is 5/3 or 1 and 2/3
Sounds like a system of equations. Y + 5X = - 2 - 15X - 3Y = 6 substitution using first equation Y + 5X = - 2 Y = - 5X - 2 ==========insert into other equation as this is Y - 15X - 3(- 5X - 2) = 6 - 15X + 15X + 6 = 6 ========================This looks to be a dependent system that has an infinite number of solutions
so -3y = 11 ie y = -11/3 or -3 and 2/3
Rearrange for y, let f(x) = y, and find the derivative of f(x) with respect to x: 5x + 3y = -2 y = -(5x+2)/3 = f(x) df/dx = -5/3