You and a friend go to super taco for lunch. you order three soft tacos and three burritos and your bill totals $11.25. your friends bill is $10.00 for four soft tacos and two burritos. how much do soft tacos and burritos cost? let s equal the cost of a soft taco and b equal the cost of a burrito.

The cost of a soft taco is $1.25 and the cost of a burrito is $2.50

Let s = cost of a soft taco

Let b = cost of a burrito.

Based on the information given, the equation to use will be:

3s + 3b = 11.25 i

4s + 2b = 10.00 ii

Multiply equation i by 4

Multiply equation ii by 3

12s + 12b = 45

12s + 6b = 30

Subtract the equations

6b = 15

b = 15/6 = 2.5

The cost of a burrito is $2.50

Since 4s + 2b = 10.00

4s + 2(2.50) = 10.00

4s + 5.00 = 10.00

4s = 10.00 - 5.00

4s = 5.00

s = 5.00/4

s = 1.25

The cost of a soft taco is $1.25

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Four soft tacos and two burritos for $10 is represented by 4s + 2b = $10.

Three soft tacos and three burritos for $11.25 3s + 3 b = $11.25

... where s and b are the unit costs of the tacos and burritos respectively.

Solve this system of linear equations for s and b:

Mult the first equation by 3: 12s + 6b = $30

Mult the 2nd eqn by -4: -12s -12b = -$45

Combine these equations:

-6b = - $15

Solve for b b = $15/6, or $2.50 per burrito

Subst. this $2.50 into 4s + 2b = $10 to find s:

4s + 2($2.50) = $10, or 4s + $5 = $10. Then s = $5/4 = $1.25 per soft taco.

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.