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4 years ago

How many solutions are there to this system of equations?

Mathematics

1 answer:

Zinaida [17]4 years ago

5 0

Answer:

one

Step-by-step explanation:

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Hoochie [10]

Answer:

4. No solution

Step-by-step explanation:

To solve a system of equations, find the (x,y) solution that satisfies both equations. One method that can be used is substitution. It is done by substituting one function into the other function and simplify.

Substitute y = 4x - 6 into 8x - 2y = 14.

8x - 2(4x - 6) = 14

8x - 8x + 12 = 14

12 = 14 FALSE

Since the variable was eliminated and a false statement was found, there is no solution to this system.

Solve 3 and 5 similarly. If the variable is eliminated again, but a true statement is fund then the solution is infinite. If the variable is not eliminated then substitute it back into one equation to find the other.

4 0

3 years ago

Factor this expression into primes.<br> 22x

yulyashka [42]

22x

(11x) (2)

this is supposed to look like a factor tree where 11x and 2x are circled :)

3 0

3 years ago

Read 2 more answers

Please help <br><br> How much per song?

marissa [1.9K]

Answer:

1.20 per song

Step-by-step explanation:

Its quite simple. just take 6 divided by 5

4 0

3 years ago

Read 2 more answers

exis [7]

Answer:

Part 1) The length of the longest side of ∆ABC is 4 units

Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

x ----> the length of the longest side of ∆ABC

y ----> the length of the longest side of ∆DEF

$z=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$y=40\ units$

substitute

$\frac{1}{10}=\frac{x}{40}$

solve for x

$x=(40)\frac{1}{10}$

$x=4\ units$

therefore

The length of the longest side of ∆ABC is 4 units

Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of ∆ABC

y ----> the area of ∆DEF

$z^{2}=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$z^2=(\frac{1}{10})^2$

$z^2=\frac{1}{100}$

therefore

The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

3 0

3 years ago

Find the slope of the following equation: y = 5 - 2.x

saveliy_v [14]

Answer:

y = 52

Step-by-step explanation:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Combine 52 5 2 and x x . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 52 .

8 0

3 years ago