Answer:
Total peanut=324
Step-by-step explanation:
Let the peanut=x
Philip took 1/3 of x
Remaining peanut=x-1/3x
=3x-x/3
=2/3x
Joy took 1/4 of the remaining leaving 3/4
Remaining=(3/4)(2x/3)
=6x/12
=1/2x
Brent took 1/2 of those, leaving 1/2
=(1/2)*(1/2x)
=1/4x
Preston took 10
Remaining
1/4x - 10 = 71
1/4x = 81
x=81÷1/4
=81*4/1
x = 324
Total peanut =324
Philip=1/3x
=1/3*324
=108
Remaining 324-108
=216
Joy=1/4 of 216
=54
Remaining
324-108-54=162
Brent=1/2 of 162
=81
Preston=10
Total taken=Philip+joy+Brent+Preston
=108+54+81+10
=253
Total remaining=Total peanut - total taken
=324-253
=71
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ANSWER
Yes it is very true
<u>EXPLANATION</u>
If the two equations intersect at
then this point must satisfy the two equations.

We substitute
in to erquation (1)




We now substitute
in to erquation (2) also



Since the point satisfy all the two equations, it is true that they intersect at 
Note the equal sign. What you do to one side, you do to the other.
Isolate the variable. Divide 4 from both sides
(-52)/4 = (4m)/4
m = -52/4
m = -13
-13 is your answer for m
hope this helps