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2 years ago

Solve the following system of equations algebraically... NEED HELP PLZ

Mathematics

1 answer:

lana [24]2 years ago

3 0

Answer:

flour $42 , bag of sugar $58

Step-by-step explanation:

let f represent flour and s represent sugar, then

7f + 5s = 584 → (1)

5f + 3s = 384 → (2)

Multiplying (1) by 3 and (2) by - 5 and adding will eliminate s

21f + 15s = 1752 → (3)

- 25f - 15s = - 1920 → (4)

Add (3) and (4) term by term to eliminate s , that is

- 4f = - 168 ( divide both sides by - 4 )

f = 42

Substitute f = 42 into either of the 2 equations and solve for s

Substituting into (1)

7(42) + 5s = 584

294 + 5s = 584 ( subtract 294 from both sides )

5s = 290 ( divide both sides by 5 )

s = 58

The cost of a bag of flour is $42 and cost of sugar is $58

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2 years ago

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2 years ago

Find the greatest solution to the following system of equations. Write as x= ?

grandymaker [24]

Answer:

we have x=1, y=0 and x=-3, y=4

Step-by-step explanation:

We need to solve the equations: $y=x^2+x-2 \ and \ y=-x+1$

Let:

$y=x^2+x-2--eq(1)\\ y=-x+1---eq(2)$

Putting value of eq(2) into eq(1)

$-x+1=x^2+x-2\\Solving:\\x^2+x-2+x-1=0\\x^2+2x-3=0\\Factorising:\\x^2+3x-x-3=0\\x(x+3)-1(x+3)=0\\(x-1)(x+3)=0\\x-1=0 \ or \ x+3=0\\x=1 \ or \ x=-3$

Now finding values of y for x=1 and x=-3

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8 0

2 years ago

Jayson used 0.5 cup of kernels to make

Dennis_Churaev [7]

The right answer is Option C.

Step-by-step explanation:

Cups of kernel used = 0.5

Cups of popcorn made = 16

Ratio of kernel used to popcorn made = 0.5:16

New cups of kernel used = 0.75

Let,

x be the new number of cups of popcorn.

Ratio of kernels to popcorn made = 0.75:x

Using proportion,

Ratio of kernel used to popcorn made :: Ratio of kernel to popcorn

$0.5:16::0.75:x$

Product of mean = Product of extreme

$16*0.75=0.5*x\\12=0.5x\\0.5x=12\\$

Dividing both sides by 0.5

$\frac{0.5x}{0.5}=\frac{12}{0.5}\\x=24$

24 cups of popcorn can be made from 0.75 cups of kernels.

The right answer is Option C.

Keywords: Ratio, proportion

Learn more about ratios at:

#LearnwithBrainly

6 0

3 years ago

Read 2 more answers