18 = x/2
We are trying to end up with just a variable (x) on one side of the equation.
Step 1: multiply both sides of the equation by 2 (we must do exactly the same to both sides of the equation so that it remains equal), which gives:
36 = x, which I will rewrite as x = 36 (as this reads a little better).
And in this question this is the only step required.
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y = -24x - 3y = 18 (use the substitution method)4x - 3y = 18 (substitute -2 for y, and solve for x))4x - 3(-2) = 184x + 6 = 18 (subtract 6 to both sides)4x = 12 (divide by 2 to both sides)x = 3Thus, (3, -2) is the solution of the given system of equations.
3(x+2) = x -18 3x+6 = x -18 3x -x = -18 -6 2x = -24 x = -12
x2 + 8x - 2 = 0 => x2 + 8x = 2 => x2 + 8x + 16 = 2 + 16 = 18 => (x + 4)2 = 18 => x + 4 = +or- sqrt(18) = +or- 3*sqrt(2) so x = -4 +or- 3*sqrt(2)
3x+12 = 18 3x = 18-12 3x = 6 x = 2
This question has already been answered in detail and the value of x is 11/15 which when substituted into the equation results in: 12/11 = 12/11