2x
8x - 4x + 7 = 94x + 7 = 94x = 9-74x = 2x = 4/2x = 1/2x = 0.5
2x + 7 = 11 - 2x add 2x to both sides 4x + 7 = 11 subtract 7 from both sides 4x = 4 divide both sides by 4 x = 1
4x - 7 = 2x + 5 2x - 7 = 5 2x = 12 x = 6.
Simplifying 4x + -5 = 2x + 7 Reorder the terms: -5 + 4x = 2x + 7 Solving -5 + 4x = 7 + 2x Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 4x + -2x = 7 + 2x + -2x Combine like terms: 4x + -2x = 2x -5 + 2x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 2x = 7 + 0 -5 + 2x = 7 Add '5' to each side of the equation. -5 + 5 + 2x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 7 + 5 2x = 7 + 5 Combine like terms: 7 + 5 = 12 2x = 12 Divide each side by '2'. x = 6 (your answer)
y = 2x-5 4x-y = 7 => y = 4x-7 2x-5 = 4x-7 2x-4x = 5-7 -2x = -2 x = 1 Therefore by substituting: x = 1 and y = -3
2x + 3 = 4x - 7 <=> 4x - 7 = 2x + 3 <=> 2x = 10 <=> x = 5 - - - 2x + 3 = 4x - 7 Take the 2x from each side of the equation. 3 = 2x - 7 Get the numerals together 7 + 3 = 2x Therefore 10 = 2x Therefore 5 = x
(2x + 1)(4x - 7)
(A): 4x + y = 7 (B): 2x - 3y = -7 2*(B) 4x - 6y = -14 Subtract from (A) 7y = 21 Divide both sides by 7: y = 3 Substitute in (A): 4x + 3 = 7 ie 4x = 4 or x = 1 Answer: x = 1 , y = 3
(x3 + 3x2 - 2x + 7)/(x + 1) = x2 + 2x - 4 + 11/(x + 1)(multiply x + 1 by x2, and subtract the product from the dividend)1. x2(x + 1) = x3 + x22. (x3 + 3x2 - 2x + 7) - (x3 + x2) = x3 + 3x2 - 2x + 7 - x3 - x2 = 2x2 - 2x + 7(multiply x + 1 by 2x, and subtract the product from 2x2 - 2x + 7)1. 2x(x + 1) = 2x2 + 2x2. (2x2 - 2x + 7) - (2x2 + 2x) = 2x2 - 2x + 7 - 2x2 - 2x = -4x + 7(multiply x + 1 by -4, and subtract the product from -4x + 7)1. -4(x + 1) = -4x - 42. -4x + 7 - (-4x - 4) = -4x + 7 + 4x + 4 = 11(remainder)
We can solve this by following the steps I'm about to explain. 1) Write the equation out. • 4x + 1 = 2x - 3 2) Get the numbers and variables to their own side. • 4x + 1 = 2x - 3 • 4x + 1 - 1 = 2x - 3 - 1 • 4x = 2x - 4 • 4x - 2x = 2x - 2x - 4 • 2x = -4 3) Perform the opposite operation that is holding the variable together. (2x = 2(x) so we're multiplying - we need to divide) • 2x = -4 • 2x/2 = -4/2 • x = -2 4) Check your solution • 4x + 1 = 2x - 3 Substitute the value of X for every x in the equation. • 4(-2) + 1 = 2(-2) - 3 • -8 + 1 = -4 - 3 • -7 = -7
4x+1=2x-3 Subtarct 2x from each side: 2x+1=-3 Subtract one from each side: 2x=-4 Divide by 2 on each side: x=-2 Plug the answer back into the equation: 4∙-2+1=2∙-2-3 -8+1=-4-3 -7=-7
3/4x - 4 = 7 + 1/2x 3/4x = 11 + 2/4x 1/4x = 11 x = 44
Assuming there are no parentheses:2 times X - 1 + 4X - 6 + 2X =2X - 1 + 4X - 6 + 2X =2X + 4X + 2X - 1 - 6 =8X - 1 - 6 =8X - 7
2x
8x - 4x + 7 = 94x + 7 = 94x = 9-74x = 2x = 4/2x = 1/2x = 0.5
If: 2x+y = 1 then y = 1-2x If: y^2 = (1-2x)^2 then y^2 = 1-4x+4x^2 If: x^2 +xy +y^2 =7 then x^2 +x(1-2x) +1-4x+4x^2 = 7 So it follows: x^2 +x-2x^2 +1-4x+4x^2 -7 = 0 Collecting like terms: 3x^2 -3x -6 = 0 Dividing all terms by 3: x^2 -x -2 = 0 Factorizing the above: (x+1)(x-2) = 0 meaning x = 2 or -1 By substitution points of contact are made at: (2, -3) and (-1, 3)