3x = 6y - 6
x = 2y - 2
4 ( 2y - 2 ) = 4 + 5 ( 2y - 2 )
8y - 8 = 4 + 10y - 10
2y = - 2
y = - 1
x = 2 ( - 1 ) - 2
x = - 4
i am a mathematics teacher. if anything to ask please pm me
Answer:
Each section of the board is 1/3 or 0.334(0.333333333333) of a meter
Step-by-step explanation:
3/5 divided by 3 is the equation we have to do.
3/5 divided by 3 is also equal to 3/5 times the reciprocal of 3 or 1/3
3/5 * 1/3
3*1 = 3
5*3 = 15
3/15 which can simplify to 1/3. (divide numerator and denominator by 3.)
Each section of the board is 1/3 or 0.334(0.333333333333) of a meter
Answer:
Daughter is 6 , mother is 30.
Step-by-step explanation:
Answer: B) Infinitely many solutions; both equations are equivalent
==============================================================
Work Shown:
x+y = 4 ... start with the first equation
x + (-x+4) = 4 ... replace y with (-x+4)
x-x+4 = 4
0x+4 = 4
0+4 = 4
4 = 4 ... this is a true statement regardless of what x you pick
So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.
Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.
