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3 years ago

Francine solves the system of equations using the linear combination method.

Mathematics

2 answers:

k0ka [10]3 years ago

6 0

C is the correct answer.

vaieri [72.5K]3 years ago

6 0

Answer:

Multiply 4x+3y=−1 by 3. Multiply 3x−5y=4 by −4 . Add the resulting equations together.

Step-by-step explanation:

Given the simultaneous equation below:

4x+3y=−1 ...(1) × 3

3x−5y=4 ...(2) × -4

Using elimination method to solve the problem,

Before we can eliminate x, the coefficient of x in both equation must have similar whole number as coefficient.

To make the coefficient equal, we will multiply equation 1 by 3 and equation 2 by -4 as shown above

The equations will then become

12x+9y = -3

-12x+20y = -16

Then we will add the resulting simultaneous equations.

The steps that would allow her to eliminate the x terms in the system of equations is to "Multiply 4x+3y=−1 by 3. Multiply 3x−5y=4 by −4 . Add the resulting equations together"

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What is the final amount if 975 is increased by 1% followed by a further 9% increase?

Verdich [7]

Answer:

1073.38

Step-by-step explanation:

975 × 0.01 = 9.75

9.75 + 975 = 984.75

984.75 × 0.09 = 88.6275

88.6275 + 984.75 = 1073.38

3 0

3 years ago

Identify the constants in the expression below. 5x - 3y + 2x -15 +2y + 9

anzhelika [568]

Answer:

The constants are -15 and 9

Step-by-step explanation:

Constants are those numerical values that will never change, despite the value of x. The easiest way to find them are by finding those numbers that are not affecting x in any way.

5 0

2 years ago

Read 2 more answers

Diego is solving this system of equations:

USPshnik [31]

The solutions of the equations are x = 1 and y = 2

The system of equations are

4x + 3y = 10

-4x + 5y = 6

Here we have to use the elimination method. Eliminate the x term and find the value of y term

Add both equation

3y + 5y = 10 +6

Add the like terms

8y = 16

y = 16 / 8

Divide the terms

y = 2

Substitute the value of x in the first equation

4x + 3y = 10

4x + 3×2 = 10

Multiply the terms

4x + 6 = 10

4x = 10 - 6

4x = 4

x = 4 / 4

Divide the terms

x = 1

Hence, the solutions of the equations are x = 1 and y = 2

Learn more about elimination method here

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7 0

1 year ago

You need 2b cups of flour for making b loaves of bread. You have 8 cups of flour . Do you have enough for 5 loafs of bread?Expla

lubasha [3.4K]

Answer:

No. I don't have enough Flour to make 5 loaves of bread.

From the Amount of flour i had i can make 4 loaves only.

Step-by-step explanation:

Given:

Flour required for making loaves of bread = $2b$ cups

Amount of flour i had = 8 cups

Number of loaves of bread = $b$

We need to find the we have enough flour to make 5 loafs of bread.

Solution:

We know that;

Amount of flour I had is equal to Flour required for making loaves of bread

framing in equation form we get;

$2b=8$

Dividing both side by 2 we get;

$\frac{2b}{2} =\frac{8}{2}$

$b=4$

Hence From the Amount of flour i had i can make 4 loaves only.

Hence I don't have enough Flour to make 5 loaves of bread.

3 0

2 years ago

The slope of a line is?

valkas [14]

Answer:

The correct answer is d) the ratio of the change in y to the change in x along the line.

We can tell this by looking at the slope formula.

m (slope) = (y2 - y1)/(x2 - x1)

6 0

3 years ago