Answer:
Answer:
b. -75x+57=-75x+57
Step-by-step explanation:
If an equation after solving does not give the solution but give a true statement then the equation has infinitely many solution,
In option a.
57x+57=-75x-75
57x + 75x = -75 - 57
132x = -132
⇒ x = -1
i.e. it has only one solution,
In option b.
-75x+57=-75x+57
-75x + 75x = 57 - 57
0 = 0 ( True )
i.e. it has infinitely many solution.
In option c.
75x+57=-75x+57
75x + 75x = 57 - 57
150x = 0
⇒ x = 0
i.e. it has only one solution,
In option d.
-57x+57=-75x+75
-57x + 75x = 75 - 57
18x = 18
⇒ x = 1
i.e. it has only one solution.
Step-by-step explanation:
Answer: Infinity solution
Step-by-step explanation:
6x + 30 + 4x = 10x + 30
10(x + 3) = 10x + 30
10x + 30 = 10x + 30
Answer: a burger is $5.25, fries are $1.50
b = burger, f = fries
3b + 3f = 20.25
5b + 8f = 38.25
First, solve for b in terms of f
3b = 20.25 - 3f
b = 6.75 -f
Then substitute that for b in the other equation to solve and get a numerical value for f.
5(6.75 -f) + 8f = 38.25
33.75 -5f +8f = 38.25
33.75 + 3f = 38.25
3f = 4.5
f = 1.5
Now substitute that in to get a numerical value for b
b = 6.75 - 1.5
b = 5.25
Checking the math:
3b + 3f = 20.25
3(5.25) + 3(1.5) = 15.75 + 4.5 = 20.25
Add the two equations
since the 5x and -5x cancel out
you get y=-4
plug y=-4 into the first equation
solve for x
x=2
THE ANSWER IS: (2,-4)
