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3 years ago

Solve each system of linear equations by using substitution method.

Mathematics

2 answers:

Talja [164]3 years ago

8 0

Answer: x=1 y=3....do you need to show your work?

katovenus [111]3 years ago

4 0

Answer:

x = 1, y = 3

Step-by-step explanation:

Given:

x - y = -2

2x + y = 5

First, add y on both sides for the first equation.

x = y - 2

Then, plug in x into the second equation.

2(y -2) + y = 5

2y - 4 + y = 5

3y = 9

y = 3.

Next, now that you've found y, plug it into either the first or second equation to solve for x. I'll be using the second equation.

2x + 3 = 5

2x = 2

x = 1.

Ans: x = 1, y = 3

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Ms. Dunn spent 10.70 buying slices of pie and cookies. She bought a total of 24 items. A slice of pie costs 0.80 and a cookie co

Rus_ich [418]

Answer:

Ms. Dunn bought 7 slices of pie.

Step-by-step explanation:

With the information provided, you can write the following equations:

x+y=24 (1)

0.80x+0.30y=10.70 (2), where:

x is the number of slices of pie

y is the number of cookies

First, you can solve for x in (1):

x=24-y (3)

Next, you have to replace (3) in (2) and solve for y:

0.80(24-y)+0.30y=10.70

19.2-0.80y+0.30y=10.70

19.2-10.70=080y-0.30y

8.5=0.5y

y=8.5/0.5

y=17

Finally, you can replace the value of y in (3) to be able to find the value of x:

x=24-17

x=7

According to this, the answer is that Ms. Dunn bought 7 slices of pie.

7 0

3 years ago

Let f(x) = 2x – 3 and g(x) = 3x – 2. Find the value.

Sholpan [36]

Answer:

Ok:

Step-by-step explanation:

So f°g . means f(g(x)). (The ° should be more center and bigger but I don't know to do that on a keyboard). f(g(x)) means that you replace the x in f(x) with the g(x) function. i.e:

if f(x) = 2x+2

and g(x) = $x^2$

f(g(x)) = $2x^2+2$ .

Similarly, in this case, we get f(x) = 2x-3 and g(x) = 3x-2.

Then, f(g(x)) or f°g(x) is 2(3x-2) - 3.

And we plug in -2 to solve:

2(3(-2)-2)-3.

and get -19.

Check if I am wrong because everyone makes mistakes but that is the way to solve this.

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Radda [10]

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natulia [17]

Answer:

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