If the question is x + 4z - 5 - 3x when x = 2 and z = 3x, then First simplify the original statement x + 4z - 5 - 3x = 4z - 5 - 2x Secondly substitute in 3x for z 4z - 5 - 2x = 4*3x - 5 - 2x = 12x - 5 - 2x = 10x - 5 Lastly substitute 2 for the x 10x - 5 = 10*2 - 5 = 20 - 5 = 15 or x + 4z - 5 - 3x when x = 2 and z = 3x, so z = 3*2 = 6 x + 4z - 5 - 3x = 4z - 5 - 2x (replace the variables with the corresponding values) = 4*6 - 5 - 2*2 = 24 - 5 - 4 = 24 - 9 = 15
Without an equality sign the given terms can't be considered to be an equation.
What do 6, 9 and 12 have in common? 3. -6y / 3 = -2y +9x / 3 = +3x +12z / 3 = +4z Since they share 3, write 3 outside the brackets, and your solutions inside the brackets: 3(3x-2y+12z)
It's 9*9*9*9*9*9*9*9*9 or 387,420,489
9 + (9/9) = 10 (99/9) - (9/9) = 10 [ (9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9) / 9 ] + (9/9) = 10
7 + 4z = 437 + 4z -7 = 43 - 7 4z = 43 - 7 4z = 36 z = 9
4z - 1 = 9 4z = 10 (add 1 to both sides) z = 2.5 (divide both sides by 4)
(z - 9)(z + 5)
If the question is x + 4z - 5 - 3x when x = 2 and z = 3x, then First simplify the original statement x + 4z - 5 - 3x = 4z - 5 - 2x Secondly substitute in 3x for z 4z - 5 - 2x = 4*3x - 5 - 2x = 12x - 5 - 2x = 10x - 5 Lastly substitute 2 for the x 10x - 5 = 10*2 - 5 = 20 - 5 = 15 or x + 4z - 5 - 3x when x = 2 and z = 3x, so z = 3*2 = 6 x + 4z - 5 - 3x = 4z - 5 - 2x (replace the variables with the corresponding values) = 4*6 - 5 - 2*2 = 24 - 5 - 4 = 24 - 9 = 15
7x + y + z = 6 7x + y + 4z = 9 y + x = 6 Take the first two statements and subtract them. 7x + y + z = 6 7x + y + 4z = 9 _____________ 0 + 0 - 3z = -3 Therefore: z = 1 Then you are left with: 7x + y + 1 = 6 7x + y + 4 = 9 which is impossible, so this is an impossible equation.
post an equation first.
The powers (exponents) of each variable in the equation is 1. For example 5x + 6y = 9 is a line in 2-dimensional space, 2x + 3y +4z = 7 is a line in 3-d space, etc.
Without an equality sign the given terms can't be considered to be an equation.
What do 6, 9 and 12 have in common? 3. -6y / 3 = -2y +9x / 3 = +3x +12z / 3 = +4z Since they share 3, write 3 outside the brackets, and your solutions inside the brackets: 3(3x-2y+12z)
What do 6, 9 and 12 have in common? 3. -6y / 3 = -2y +9x / 3 = +3x +12z / 3 = +4z Since they share 3, write 3 outside the brackets, and your solutions inside the brackets: 3(3x-2y+12z)
You cannot solve this statment as there is nothing to equate to it. However, it will factor. 9 - 4z^2 First we note that both '9' and '4' are squared numbers. 9 = 3^(2) & 4 = 2^(2) So we can re-write the statement as 3^(2) - (2z)^(2) Note that it now has two squared terms with a negative between them . This will factor to 3^(2) = (2z)^2 = ( 3 - 2z_)(3 + 2z) NOTE the different signs. NB Two squared terms with a positive(+) between them will NOT factor.
4x + 3y + 2z = 34; 2x + 4y + 3z = 45; 3x + 2y + 4z = 47 First, eliminate terms in z from 2 of the equations, by muliplying first equation by 2 and subtracting third equation from the answer: 8x + 6y + 4z = 68, subtract leaving 5x + 4y = 21 (equation 4) Similarly multiply the first equation by 3 and the second by 2 giving 12x + 9y + 6z = 102 and 4x + 8y + 6z = 90 Subtract again and we have 8x + y = 12 or y = 12 - 8x Substitute this in equation 4 gives 5x + 4(12 -8x) = 21 Simplify: 5x + 48 - 32x = 21 = -27x = -27 so x = 1 y = 12 - 8x so y = 4 and in one of the original equations 4 + 12 + 2z = 34, ie 2z = 34 -16 so z =9 Check: 2x + 4y + 3z = 2 +16 + 27 = 45 and 3x + 2y + 4z = 3 + 8 + 36 = 47 QED!