2 years ago my mother was 4 times my age then. In 18 years I will be half my mothers new age. How old am I now?
1 answer:
You might be interested in
Answer:
y = - x -
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 4, 2 ) and (x₂, y₂ ) = (3, - 4) ← 2 points on the line
m = = -
, thus
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 4, 2 ), then
2 = + c ⇒ c = 2 -
= -
y = - x -
← equation of line
You have a system of equations 
.
1. Substitude right side of second equation into the left side of the first equation:
.
2. Solve this equation:
.
3. Find y:
for
,
for
.
4. The solutions of the system are: (3,-12) and (5,-24).
Answer: Correct choice is A.
1. Substitude right side of second equation into the left side of the first equation:
2. Solve this equation:
3. Find y:
for
for
4. The solutions of the system are: (3,-12) and (5,-24).
Answer: Correct choice is A.