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To solve these equations, we have to rearrange the second equation to make x ‘the subject’ and then we can substitute it into the first one. First, subtract 2y from both sides so x=1-2yNext substitute thi...

3xy+6x^2There is a common factor of x in both terms so we can factor x out of the expressionx(3y+6x)There is also a common factor of 3 in both terms so we can factor that out also3x(y+2x)

Make the like terms equate by multiplying (1)*2 and (2)*3, ((1)*2) 24x+7y=64, ((2)*3) 24x+9y=72, Take one away from the other to remove the x term and solve for y, (24x+9y=72) - (24x+7y=64), 2y=8 y=4, Su...

2y + 3x = 19y + 7x = 26
so2y + 3x = 192y + 14x = 52
minus the top from the bottom11x = 33x= 3
put x into the initial questiony + 7(3) = 26y = 26-21y=5

The cosine rule= a² = b²+c²-2bcCos(A)a²= 10²+15²-(2x10x15xCos(105))a²= 402.65...Square root of ans.a= 20.07x=20.1cm