# Please Help, Geometry Work due Tomorrow

## Answers

Answer:1) x= 72)a. x=8, x=1b.x=4,x=-13)(5,2)Step-by-step explanation:problem 1:1) Distribute4(x-5)=x+14x-20=x+12) Add 20 to both sides of the equation4x-20=x+14x-20+20=x+1+203) Simplify*Add the numbers4x=x+214) Subtract x from both sides of the equation 4x=x+214x-x=x+21-x5) Simplify*Combine like terms3x=216) Divide both sides of the equation by the same term.3x=213x/3=21/37) Simplify*Cancel terms that are in both the numerator and denominator*Divide the numbersResult: x=7-------------------------------------problem 2:a1) Use the sum-product patternIdentify a, b, and c in your equation and then find two numbers that when multiplied together equal c and when added together equal b. x²-9x+8=02) Factor* Write your equation in factored form(x-8)(x-1)=03) Create two separate equations*set each factor equal to 0x-8=0x-1=04) solve*rearrange and isolate the variable to find each solutionx=8x=1b. 1) move terms to the left side2x²+7x-4=x²+10x2x²+7x-4-(x²+10x)=02) distribute2x²+7x-4=x²+10x2x²+7x-4-x²-10x=03) combine like terms2x²+7x-4-x²-10x=01x²+7x-4-10x=04) Multiply by 11x²+7x-4-10x=0x²+7x-4-10x=05) combine like termsx²+7x-4-10x=0x²-3x-4=06) Use the sum-product patternIdentify a, b, and c in your equation and then find two numbers that when multiplied together equal c and when added together equal b.x²-3x-4-07) FactorWrite your equation in factored form(x-4)(x+1)=08) Create two separate equationsSet each factor equal to zerox-4=0x+1=09) SolveRearrange and isolate the variable to find each solutionx=4x= -1-=----------------------problem 3:x+4y=13x-y-3multiplying this one by -1 x+4y=13-x+y=-30x+5y=105y=10y=10/2y=2since we know thatx-y=3x-(2)=3x=5(5,2)