Answer:look at the photo
Step-by-step explanation:
Answer:
x=-2
Step-by-step explanation:
1/2(2-6x)-4(x+3/2)=-(x-3)+4
(1-3x)-4x-6=-x+3+4
-7x-5=-x+7
Tranpose
-7x+x=5+7
-6x=12
Divide by -6
x=-2
Answer:
10 years old
Step-by-step explanation:
Let m = mother's age
Let f = father's age
Let d = Dina's age
m = 4d d = f-35 f = m+5
Substitute the middle equation in to the first equation
m = 4(f - 35) Use the distributive property
m = 4f - 140 subtract 4f from both sides
*m -4f = -140
In equation 3 above, subtract m from both sides to get
f = m+5
f - m = 5 rearrange so that the m term is first
*-m + f = 5
Now add the equations together that have *
m -4f = -140
<u>-m + f = 5</u>
-3f = -135 Divide both sides by -3
f = 45 This is the father's age. To find Dina's age, plug 45 into the second equation above:
d = f -35
d = 45 -35
d = 10.
To find the mom's age, use the third equation:
f = m+5
45 = m + 5
40 = m
You can check this by plugging the answers you found and you can see that all three equations are solved.
m = 4d d = f - 35 f = m + 5
40 = 4(10) 10 = 45 - 35 45 = 40 + 5
40 = 40 10 = 10 45 = 45
