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2 years ago

Solve the system of linear equations using linear combination.

Mathematics

1 answer:

snow_lady [41]2 years ago

8 0

Answer:

a = 1, b = 7

Step-by-step explanation:

Given the 2 equations

3a + 6b = 45 → (1)

2a - 2b = - 12 → (2)

Multiply (2) by 3 and add to (1) to eliminate the term in b

6a - 6b = - 36 → (3)

Add (1) and (3) term by term

(3a + 6a) + (6b - 6b) = (45 - 36)

9a = 9 ( divide both sides by 9 )

a = 1

Substitute a = 1 in either (1) or (2) and solve for b

(1) → 3 + 6b = 45 ( subtract 3 from both sides )

6b = 42 ( divide both sides by 6 )

b = 7

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2 years ago

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2 years ago

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Answer:

Part 1) The number of cups of flour needed to make 4 pizzas is 26

Part 2) The number of pizzas Luigi can make with 13 cups of flour is 2

Step-by-step explanation:

we know that

Luigi uses 39 cups of flour for every 6 pizzas he makes

Let

y ----> the number of cups of flour used

x ---> the number of pizzas he makes

In this problem

The relationship between the variables x, and y, represent a proportional variation

we have the ordered pair (6,39)

$\frac{y}{x}=\frac{39}{6}$

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Part 2) Find out the number of pizzas Luigi can make with 13 cups of flour

using a proportion

$\frac{13}{x}\ \frac{cups\ of\ flour}{pizzas}=\frac{39}{6}\ \frac{cups\ of\ flour}{pizzas}$

Solve for x

$x=13(6)/39$

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