2 years ago

6x + 3y = -4 15x + 7y = -8 how many solutions does the system of equations have?

Mathematics

1 answer:

dimulka [17.4K]2 years ago

6 0

The system of equations has one solution

You might be interested in

Which of the purchases would be the least expensive? Purchase Amount of sale Sales tax rate A $150 5% B $145 7% C $140 8% D $135

Lera25 [3.4K]

Answer:

It is d

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A mystery number rounds to 200 when rounded to nearest hundred. The sum of its ditgits is 10. When rounded to the nearest 10, it

9966 [12]

Step-byiioiiiiiioiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

7 0

3 years ago

Please help! Thanks in advance.

alukav5142 [94]

In this problem, we need to plug in the given x values for $f(x)=0$ and find a and b.

When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
$2 - 5 - 14 + a + b = 0$
$- 17 + a + b = 0$
$a + b = 17$

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
$2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0$
$512 - 320 - 224 + 4a + b = 0$
$- 32 + 4a + b = 0$
$4a + b = 32$

Now we have our second one. We can combine them:
$a + b = 17 \\ 4a + b = 32$

I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
$3a = 15$

Simplify:
$a = 5$

Now we have a, we can plug in one of those equations to find b:
$5 + b = 17$
$b = 17 - 5$
$b = 12$

So, the answers are $a=5$ and $b=12$ .

6 0

3 years ago

Cindy has 2 boxes of pencils. Patrice has 5 boxes of pencils. Each box has the same number of pencils in it.

Murljashka [212]

Answer:

hey mate..

plzz add more to ur question soo that we can answer it...!

;)

8 0

2 years ago

Sally can paint a room in 4 hours while it takes steve 5 hours to paint the same room. How long would it take them to paint the

sdas [7]

Answer:

I think it's 20/9 hours. so 2.222222... hours.

Step-by-step explanation:

8 0

2 years ago