There are several solutions....what are the choices you have?
Guessing one of them is (1,-4) or possibly (-1,-5).
--Algebra 2 Teacher
x = -3/5 and y = -24/5
2x-4y=18
- 2(3X - 8Y = - 18)3(2X + 5Y = 19)- 6X + 16Y = 366X + 15Y = 57----------------------------add31Y = 93Y = 3========now, find X; second equation will do2X + 5(3) = 192X + 15 = 192X = 4X = 2==========both check and are consistent(2, 3)-----------------ordered pair
y = 3x =3(6) = 18 ... the ordered pair is (x,y) = (6,18)
4x + 6y = 62-6x + 6y = -18 Multiply this equation by -1 the result will be_______________4x + 6y = 626x - 6y = 18_______________ Equation 1 + Equation 2 the result will be10x = 80 ----> X=8Put the value of X in one of the Equations above to find the value of yand so Y=5
x = 12 y = 2 (12,2) satifies the equation
There are an infinite number of solutions to this equation, some of which are (9,0), (12,2), (15,4), (18,6), (21,8)
Substitute the value for y given by the second equation into the first equation to result in 3x - 15 = x2 - x -20. Subtract (3x - 15) from both sides and exchange sides to yield x2 - 4x - 5 = 0. This can be factored into (x - 5)(x + 1) = 0, which is true when x equals either 5 or -1. If x = 5, y = 0 and if x = -1, then y = -18. Therefore, either 5,0 or -1,-18 is an ordered pair solution to the given equation system.
x = -3/5 and y = -24/5
2x-4y=18
w=4.5
- 2(3X - 8Y = - 18)3(2X + 5Y = 19)- 6X + 16Y = 366X + 15Y = 57----------------------------add31Y = 93Y = 3========now, find X; second equation will do2X + 5(3) = 192X + 15 = 192X = 4X = 2==========both check and are consistent(2, 3)-----------------ordered pair
y = 3x =3(6) = 18 ... the ordered pair is (x,y) = (6,18)
4x + 6y = 62-6x + 6y = -18 Multiply this equation by -1 the result will be_______________4x + 6y = 626x - 6y = 18_______________ Equation 1 + Equation 2 the result will be10x = 80 ----> X=8Put the value of X in one of the Equations above to find the value of yand so Y=5
4x+6y=62 -6x+6y=-18 what is the ordered pair
9x+3y=-68 -2x+y=18 We are asked to solve with substitution so we first write y=18+2x. Let us substitute this into the first equation. 9x+3(18+2x)=-68 9x+54+6x=-68 15x=-68-54=-122 so x=-122/15 and y =18+2(-122/15)==18+-244/15=270/15-244/15=26/15 So the solution is (-122/15,26/15) which is an ordered pair.
5y - 3y = 18 2y = 18 y = 18/2 y = 9