Solve the equation (3x+2)/(x-1)+3=4
First we must think about the fraction on the left hand side - we have to multiply everything by x-1 in order to get rid of the fraction. This leaves us with 3x+2+3(x-1)=4(x-1). Then, we must expand the brackets, which gives us 3x+2+3x-3=4x-4. Now we will collect similar terms, i.e. collect the xs together and the constants together, to get 6x-1=4x-4. Bringing all the x terms onto the left hand side, and the constant terms onto the right hand side, we get 2x=-3. Finally, dividing through by 2 we are left with x=-3/2, the solution to the equation.
MS
Related Maths GCSE answers
All answers ▸which expression is equivalent to x^2-4? (x-2)^2 (x-2)(x+2) (x+2)(x+2) x^2(-4)
You are given a right triangle ABC with angle ABC = 30 degrees and AB equal 7. Then AC and BC are then extended to points D and E so that EDC is a right triangle. Find length DE if BD = 15
Draw the line X+Y=3 on the graph from x = -3 to x = 3
Farmer Joe has a rectangular pen to hold his animals. The pen’s length is 5 meters longer than the width. The pen’s area is 84 meters. Find it’s width.