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y=-2/3x with any y-intercept except -2.
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What is the y-intercept of the line given by the equation y 5x - 21?
-16
How do you Solve the system of equations using the substitution method Enter the answer as an ordered pair x - 3y equals -23 5x plus 6y equals 74?
From Equation 1: x = 3y - 23Substitute for x in equation 2: 5(3y - 23) + 6y = 74ie 15y - 115 + 6y = 74ie 21y - 115 = 74Add 115 to each side: 21y = 189Divide each side by 21: y = 9x = 3y - 23 ie 27 - 23 ie 4x = 4, y = 9
What is the ordered pair for 2x plus 5y equals 16 plus -5x minus 2y equals 2?
2x + 5y = 16 + (-5x) - 2y = 2 That gives 2x + 5y = 2 . . . . . . . . . . (I) and -5x - 2y = - 14 or 5x + 2y = 14 . . . . (II) (I)*5: 10x + 25y = 10 (II)*2: 10x + 4y = 28 Subtracting the second from the first, 21y = -18 so y = -18/21 = -6/7 and then by (I) x = 1 - 5y/2 = 1 - 5/2*(-6/7) = 1 + 15/7 = 22/7 So the ordered pair is (22/7, -6/7)
How do you solve these equations by substitution 2x-5y plus 2z equals 16 3x plus 2y-3z equals -19 4x-3y plus 4z equals 18?
If you mean: 2x-5y+2z = 16 and 3x+2y-3z = -19 and 4x-3y+4z = 18 then the solutions are found as follows:- 3(2x-5y+2z = 16) => 6x-15y+6z = 48 2(3x+2y-3z = -19) => 6x+4y-6z = -38 Adding the above: 12x-11y = 10 thus eliminating z 4(3x+2y-3z = -19) => 12x+8y-12z = -76 3(4x-3y+4z = 18) => 12x-9y+12z = 54 Adding the above: 24x-y = -22 thus eliminating z 2(12x-11y = 10) => 24x-22y = 20 1(24x-y = -22) => 24x-y = -22 Subtracting the above: -21y = 42 thus eliminating x If: -21y = 42 then y = -2 So by substitution: x = -1, y = -2 and z = 4 Check: (2*-1)-(5*-2)+(2*4) = 16 Check: (3*-1)+(2*-2)-(3*4) = -19 Check: (4*-1)-(3*-2)+(4*4) = 18
3x plus 6y equals 5 -6x plus 9y equals 4?
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).
What is 14x 21y?
Terms of algebra
What is the x and y intercept of y equals 8x plus 168?
x-intercept = -21y-intercept = 168
What are the solutions to the simultaneous equations of 7x plus 4y equals 9 and 2x plus 3y equals 1 in step by step stages?
Equations: 7x+4y = 9 and 2x+3y = 1 Multiply all terms in the 1st equation by 2 and all terms in the 2nd equation by 7 So: 14x+8y = 18 and 14x+21y = 7 Subtract the 1st equation from the 2nd equation: 13y = -11 => y = -11/13 By substituting y = -11/13 into any of the equations x = 23/13 Therefore the solutions are: x = 23/13 and y = -11/13
How do you factor 4x²-20xy plus 21y²?
(2x - 3y)(2x - 7y)
How do you write this expression in factor form 6y2 plus 21y plus 18?
3(2y + 3)(y + 2)
What is the y-intercept of the line given by the equation y 5x - 21?
-16
What is 3 plus y21?
It is an algebraic expression which cannot be evaluated without information about y.
What is the coefficient for 21y?
21
How do you Solve the system of equations using the substitution method Enter the answer as an ordered pair x - 3y equals -23 5x plus 6y equals 74?
From Equation 1: x = 3y - 23Substitute for x in equation 2: 5(3y - 23) + 6y = 74ie 15y - 115 + 6y = 74ie 21y - 115 = 74Add 115 to each side: 21y = 189Divide each side by 21: y = 9x = 3y - 23 ie 27 - 23 ie 4x = 4, y = 9
Solve this equation using subtitution x plus 7y equals 39 and 3x subtract 2y equals 2?
From first equation: x = 39 - 7ySubstitute this in second equation: 3(39 - 7y) - 2y = 2ie 117 - 21y - 2y = 2ie 115 = 23yie y = 5, making x = 4.
In the term 21y what is coefficient?
21
What are the solutions to the simultaneous equations of 6.6x plus 16.5y equals 52.8 and -16.5x -6.6y equals 6.6 showing key stages of work?
Eqn (A): => 2x + 5y = 16 Eqn (B): => 5x + 2y = -2 5*Eqn (A) - 2*Eqn (B): 21y = 84 => y = 4 Substituting for y in Eqn (a): x = -2
