Question

In the given equation, for any real number X
and Y, what is the value of a+b?
-(Y-X)+2(3X+7)=by+ax+14

Answer 1

well looking at the right hand side of the equation, and with some distributing you get

-y +x +6x + 14

collect like terms

-y + 7x + 14 = by + ax + 14

so -y = by
7x = ax

I'll let you finish

Answer 2

not quite

-y really means \[-1 \times y\]

and you are comparing

\[-1 \times y = b \times y\]

cross the y's out and what would b equal?

Answer 3

thats great

now for a

\[7 \times x = a \times x\]

whats the value of a

Answer 4

thats it... well done