If you can't factor it easily, use the quadratic formula.
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8x - 22 = 2x + 28x - 2x - 22 = 2x - 2x + 26x - 22 = 26x - 22 + 22 = 2+ 226x = 24x = 24/6 = 4
13x-2+11x+1=95. 24x-1=95 24x=96 x=96/24 x=4 to check it you substitute 4 for x. so the equation would then be... 13(4)-2+11(4)+1=95 52-2+44+1=95 95=95
Straight to the quadratic equation. -b +/- sqrt(b^2 - 4ac)/2a 16 = a -24 = b 7 = c 24 +/- sqrt[ (-24)^2 - 4(16)(7)]/2(16) 24 +/-sqrt( 576-448)/32 24 +/- sqrt(128)/32 ( reduce fraction ) 3 +/- sqrt(128)/4 ( let us see about that mess under the radical )( like this!) 3 +/- sqrt( 4^2 * 2^2 * 2)/4 (4 and 2 come out and make 8) 3 +/- 8sqrt(2)/4 ( you finish)
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.
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