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What does it mean to divide 2 over 3 by 1 over 3?
2/3 divided by 1/3is the same as...2/3 x 3/1= 6/3= 2
What is the smallest even number you can make using 1 2 3 4 5 6 7 8 9?
1+3is 4
Solve 5x-3is less than 3x plus 1 when x is an integer?
5x-3 < 3x+1 5x-3x < 1+3 2x < 4 Divide both sides of the inequality by 2 to find the value of x: x < 2 So x is an integer whose value is less than 2 such as 1, 0, -1, -2, -3, .........
Is the equations 3x-6y equals 20 and 2x-4y equals 3 consistent or inconsistent?
3x-6y=202x-4y=3Is suggest you use elimination to solve this problem because it's easier. Eliminate either your Xs or your Ys.(2)(3x-6y)=40-3(2x-4y)=-9 (note that you multiplied by a -3, not a +3, because you are trying to get opposites.6x-12y=40-6x+12y=-9You can eliminate your 6x and -6x because they are opposites.0y=31Divide by 0 on each side.y=0Now plug in what y equals or 0 into one of the original equations to find the value of x.3x-6y=203x-6(0)=203x-0=20Add 0 to both sides.3x=20Divide by 3 on each side.x=6.6666666666666666666666To check your work, plug in 6.6666666666666666666 for x and 0 for y in one of the original equations. If you come up with a true statement, then you know you have the correct values for x and y.3x-6y=203(6.6666666666666666666666)-6(0)=2020-0=2020=20Because this is a true statement, you can be sure that you have the correct values for x and y.3x-6y=202x-4y=3Now get y by itself to find out if the equations are consistent or inconsistent.Subtract 3x on both sides.-6y=20-3xDivide by -6 on each sidey=-3.33333333333333333333333+1/2xSubtract 2x on both sides.-4y=3-2xDivide by -4 on each side.y=-3/4+1/2xThese equations are consistent because they have the same slopes.
