2x-11
1
2x + 3y = 5 So 3y = -2x + 5 or y = -2/3x + 5 Now that the equation is in standard form, you just read the slope off as the coefficient of x, ie slope = -2/3
3y+2x = -x+5 y = -x+5/3 So the y intercept is 5/3
6x - 3y = 6 y= 2x + 5 replace 2x + 5 for y into the first equation 6x - 3y = 6 6x - 3(2x + 5) = 6 6x - 6x - 15 = 6 0 - 15 = 6 -15 = 6 False So the system has no solution.
Solve for y.2x - 3y = 52x - 2x - 3y = -2x + 5-3y = -2x + 5-3y/-3 = -2x/-3 + 5/-3y = (2/3)x - 3/5Clearly you see that the slope is 2/3.
start with 2x - 3y = 5 add 3y to each side, 2x - 3y + 3y = 5 + 3y :: 2x = 5 + 3y subtract 5 from each side, 2x - 5 = 5 - 5 + 3y :: 2x - 5 = 3y divide each side by 3, (2x - 5)/3 = (3y)/3 :: (2/3)x - (5/3) = y the slope is the coefficient of "x" when the equation takes the form y = mx +b Therefore, the slope of the line is 2/3, approximately 0.667
If the question is x + 4z - 5 - 3x when x = 2 and z = 3x, then First simplify the original statement x + 4z - 5 - 3x = 4z - 5 - 2x Secondly substitute in 3x for z 4z - 5 - 2x = 4*3x - 5 - 2x = 12x - 5 - 2x = 10x - 5 Lastly substitute 2 for the x 10x - 5 = 10*2 - 5 = 20 - 5 = 15 or x + 4z - 5 - 3x when x = 2 and z = 3x, so z = 3*2 = 6 x + 4z - 5 - 3x = 4z - 5 - 2x (replace the variables with the corresponding values) = 4*6 - 5 - 2*2 = 24 - 5 - 4 = 24 - 9 = 15
Collect like terms: 2x + 3y + 3y - 5 - 6 2x + 6y - 11
2x-11
1
2x + 3y = 5 So 3y = -2x + 5 or y = -2/3x + 5 Now that the equation is in standard form, you just read the slope off as the coefficient of x, ie slope = -2/3
Oh, what a lovely little math problem we have here! Let's take a deep breath and simplify this together. We can factor out a 2x from the first two terms and a 3 from the last two terms, leaving us with 2x(y-5) + 3(y-5). Now, we can see that we have a common factor of (y-5), so our final answer is (2x+3)(y-5). Great job working through that!
x + y = 1 x + y = 2 x + 2y = 2 x + 3y = 3 2x + 3y = 4 2x + 5y = 5 x - 2y = 2 x - 3y = 3 2x - 3y = 4 a + b + 2c + 3d +e -6f + 2x - 5y = 5
5
If you mean 3x+2y = -5 and -2x+3y = -5 then they are straight line equations
Expression 1: 2x + 5 - 3y Expression 2: 7(2x + 5 - 3y) Expression 3: 7xy(2 + 5 - 3) Expression 4: 7x(2+5+3y)