4x + 6y = 62
-6x + 6y = -18 Multiply this equation by -1 the result will be
_______________
4x + 6y = 62
6x - 6y = 18
_______________ Equation 1 + Equation 2 the result will be
10x = 80 ----> X=8
Put the value of X in one of the Equations above to find the value of y
and so Y=5
4x+6y=62 -6x+6y=-18 what is the ordered pair
x = -3/5 and y = -24/5
y = 3x =3(6) = 18 ... the ordered pair is (x,y) = (6,18)
- 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
72 but there is such a thing as a CALCULATOR
4x+6y=62 -6x+6y=-18 what is the ordered pair
If: -2.5x+4.5y = 9 and -x+1.5 = 9 Then: x = -36 and y = -18
x = -3/5 and y = -24/5
y = 3x =3(6) = 18 ... the ordered pair is (x,y) = (6,18)
- 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
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)
Solve this system of equations. 5x+3y+z=-29 x-3y+2z=23 14x-2y+3z=-18 Write the solution as an ordered triple.
72 but there is such a thing as a CALCULATOR
If you mean: y = 4x-2 and y = x+13 then x = 5 and y = 18
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)
2+14=16