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2x-6 < 5+7x 2x-7x < 5+6 -5x < 11 x > -2.5
7x + 9 = 51 7x = 42 x = 42/7 = 6
12
It's a linear equation in 'x'. The 'solution' of the equation is the number that 'x'must be in order to make it a true statement. A linear equation has exactly onesolution. You can find it like this:-7x - 6 = 29Add 6 to each side:-7x = 35Divide each side by -7 :x = -5
(6,5)
2x-6 < 5+7x 2x-7x < 5+6 -5x < 11 x > -2.5
7x + 9 = 51 7x = 42 x = 42/7 = 6
12
7x-1=2x+5 7x-2x=5+1 5x=6 x=6/5=1.2
Let m = 7 and (x1, y1) = (7, 6).Replace what is given into the slope-point form of the equation of a line:y - y1 = m(x - x1)y - 6 = 7(x - 7)y - 6 = 7x - 49y - 6 + 6 = 7x - 49 + 6y = 7x - 43 the lope-intercept form of the equationy - 7x = 7x - 7x - 43y - 7x = -43-7x + y = -43 the general form of the equation
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.
-7x + 6 + 7x - 2 = 4
This is a linear equation. The value x = -1 is the solution to this equation.
6+7x
-7x - 3y = 42, let y = 0 and replace 0 for y into the equation -7x - 3(0) = 42 -7x = 42, divide by -7 to both sides x = -6 so the x-intercept is -6, or the x-intercept point is (-6, 0).
It's a linear equation in 'x'. The 'solution' of the equation is the number that 'x'must be in order to make it a true statement. A linear equation has exactly onesolution. You can find it like this:-7x - 6 = 29Add 6 to each side:-7x = 35Divide each side by -7 :x = -5
(6,5)