x has been increased 3.5 times and so y is now 3.5 times 12 = 42
That depends on the relationship between "x" and "y".
x = 10% solution y = 35% solution .1x+.35y=.20*12 x+y=12 y=12-x .1x+.35(12-x)=.20*12 .1x+4.2-.35x=2.4 -.25x=-1.8 .25x=1.8 x=7.2 gallons y=4.8 gallons
-x+ 4y>-8, x+y≤3 y≤3-x -x+4(3-x)>-8 -x+12-4x>-8 12-5x>-8 -5x>-20 x>4 y≤3-(4) y≤-1
y = x - 4 × 2 + 12 y = x - 8 + 12 y = x - 20 That is the simplest form of the equation, as you can only solve completely by having only 1 variable to solve.
This is an algebraic expression that can be written : (x + y) ÷ 12 or (x + y)/12. It can also be stated as : x/12 + y/12.
72
6 and 14 Solution x - y= 8, so x =8 + y, (x + y)/2 = 10, x + y = 20, Substituting x = 8 + y, we have: 2 y + 8 = 20, or 2y = 12, y = 6, x = 6+8= 14
3x-y=8 x+y=12 3x(12-x)=8 3x-12+x=8 4x-12=8 4x=20 x=5 x+y=12 5+y=12 y=7
You will need to use the arrow keys. drawfillarc (x, y, 20, 20, 230, 310, white) y := y - 5 pacstate := true end if elsif chars (KEY_UP_ARROW) then if pacstate = true then drawfilloval (x, y, 20, 20, yellow) y := y + 5 pacstate := true else drawfilloval (x, y, 20, 20, yellow) drawfillarc (x, y, 20, 20, 70, 120, white) y := y + 5 pacstate := false end if else drawfilloval (x, y, 20, 20, yellow) end if View.UpdateArea (x - 45, y - 45, x + 45, y + 45) drawfilloval (x, y, 45, 45, white) delay (120) end loop
x = 10% solution y = 35% solution .1x+.35y=.20*12 x+y=12 y=12-x .1x+.35(12-x)=.20*12 .1x+4.2-.35x=2.4 -.25x=-1.8 .25x=1.8 x=7.2 gallons y=4.8 gallons
Let label one of the numbers with x, and the other one with y. So, xy = -240 x + y = 8 y = 8 - x substitute this into the first equation; x(8 - x) = -240 8x - x^2 = - 240 -x^2 + 8x + 240 = 0 or multiplying by -1 both sides; x^2 - 8x - 240 = 0 (x + 12)(x - 20) = 0 x + 12 = 0 or x - 20 = 0 x = -12 or x = 20 So these numbers are -12 and 20. Check: -12 + 20 = 8 (-12)(20) = -240
x+y=20 x-y=4 2x=24 x=12 y=8
-x+ 4y>-8, x+y≤3 y≤3-x -x+4(3-x)>-8 -x+12-4x>-8 12-5x>-8 -5x>-20 x>4 y≤3-(4) y≤-1
y = x - 4 × 2 + 12 y = x - 8 + 12 y = x - 20 That is the simplest form of the equation, as you can only solve completely by having only 1 variable to solve.
10 and -10 -10 + 20 = 10 (2 x -10) + (12 x 10) = 100 To solve, where X is the smaller number, Y is the larger: X + 20 = Y 2X + 12Y = 100 Substitute for Y: 2X + 12(X + 20) = 100 2X + 12X + 240 = 100 14X = -140 X = -10 OR: X = Y - 20 2X + 12Y = 100 Substitute for X 2(Y - 20) + 12Y = 100 2Y - 40 + 12Y = 100 14Y = 140 Y = 10
This is an algebraic expression that can be written : (x + y) ÷ 12 or (x + y)/12. It can also be stated as : x/12 + y/12.
72
x = -4 and y = 4