The cost of one hamburger and two large sodas is $5.40. The cost of three hamburgers and one large soda is $8.70. What is the cost of one hamburger?

To find the cost of one hamburger, let's first assign variables to the unknowns.

Let's say the cost of one hamburger is h.
And the cost of one large soda is s.

From the given information, we can form two equations:

1h + 2s = 5.40 (equation 1)
3h + 1s = 8.70 (equation 2)

To solve this system of equations, we can use the method of substitution.

Let's solve equation 1 for h:
h = 5.40 - 2s (equation 3)

Now substitute this value of h in equation 2:
3(5.40 - 2s) + s = 8.70

Expand and simplify:
16.20 - 6s + s = 8.70
16.20 - 5s = 8.70

Now, isolate the variable:
-5s = 8.70 - 16.20
-5s = -7.5

Divide by -5 to solve for s:
s = -7.5 / -5
s = 1.50

Now, substitute the value of s back into equation 1 to find h:
h = 5.40 - 2(1.50)
h = 5.40 - 3.00
h = 2.40

Therefore, the cost of one hamburger is $2.40.

To find the cost of one hamburger, we can set up a system of equations using the given information.

Let "h" represent the cost of one hamburger, and "s" represent the cost of one large soda.

From the first piece of information, we know that the cost of one hamburger and two large sodas is $5.40. So, the equation would be:

1h + 2s = 5.40

From the second piece of information, we know that the cost of three hamburgers and one large soda is $8.70. So, the equation would be:

3h + 1s = 8.70

Now we have a system of two equations:

1h + 2s = 5.40
3h + 1s = 8.70

We can solve the system using various methods like substitution, elimination, or matrices. Let's solve it using the substitution method:

From the first equation, we can express s in terms of h by isolating s:

2s = 5.40 - 1h
s = (5.40 - h)/2

Now, substitute this value of s in the second equation:

3h + 1((5.40 - h)/2) = 8.70

Multiply through by 2 to remove the denominator:

6h + 5.40 - h = 17.40

Combine like terms:

5h + 5.40 = 17.40

Subtract 5.40 from both sides:

5h = 12

Divide both sides by 5:

h = 12/5

Therefore, the cost of one hamburger is $2.40.

Indont know

h+2s = 5.40

3h+s = 8.70

Now just solve for h and s.