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3 years ago

Solve the following system of equations by substitution and select the correct answer below:

Mathematics

2 answers:

Bingel [31]3 years ago

6 0

Answer:

Step-by-step explanation:

2x-8y=32

Alexxx [7]3 years ago

5 0

Okay so for substitution, chose one of of the equations to solve for x. Let's solve for the second one. So you have 2x-8y=32.
Start by adding 8y to both sides:
2x=8y+32.
Then you have to get x by itself so you divide both sides by 2 which will give you:
x=4y+16.

Now you have:
6x-4y=36
x=4y+16 (this was 2x-8y=32)

Now, plug in the second equation to the first one. You would do so by plugging in the second equation to where you see x. You would have:
6(4y+16)-4y=36

Now, multiply the 6 with the 4y and 16. you would then have:
24y+96-4y=36.

Now, combine your like terms to get:
20y+96=36
Then subtract 96 to both sides:
20y=-60
Then divide both sides so that you have y all by itself:
y=-30!

You now have the answer for y, so now plug what you got for y into the other equation: x+4y=16:
x+4(-30)=60
Solve for x:
x-120=60
add 120 to both sides:
x=180!
so Your answer is Y=-30 and X=180

I hope this helped:)

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Need. help please give answer for this if its right ill mark brainiest 2(5x+2)=2x+20

White raven [17]

Answer:

x=2

Step-by-step explanation:

10x+4=2x+20

10x-2x=20-4

8x=16

x=2

8 0

3 years ago

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Using the functions f(x) = (3 - x)/(x2 + 4) and g(x) = 3x, find the value of (f*g)(2).

wariber [46]

9514 1404 393

Answer:

(f×g)(2) = 3/4

Step-by-step explanation:

For each of the functions, put 2 where x is and evaluate the expression.

f(2) = (3 -2)/(2² +4) = 1/8

g(2) = 3×2 = 6

Then the product is ...

(f×g)(2) = f(2)×g(2) = (1/8)×6 = 6/8

(f×g)(2) = 3/4

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3 years ago

Write an equivalent expression for 7¹² × 7⁴

ira [324]

Answer:

$\huge\boxed{7^{16}}$

Step-by-step explanation:

We can use exponent rules to try and simplify this expression down.

Exponent rules tell us that $x^a + x^b = x^{a+b}$ .

This means that since we have the same base on both terms (7 and 7), we can add the exponents to get a simplified expression.

$12 + 4 = 16$

So our simplified expression is $7^{16}$ .

Hope this helped!

7 0

3 years ago

√₂

snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

Simple Interest Formula

I = Prt

where:

I = interest earned.
P = principal invested.
r = interest rate (in decimal form).
t = time (in years).

Given:

Total P = $7000
P₁ = principal invested at 5%
P₂ = principal invested at 8%
Total interest = $500
r₁ = 5% = 0.05
r₂ = 8% = 0.08
t = 1 year

Create two equations from the given information:

$\textsf{Equation 1}: \quad \sf P_1+P_2=7000$

$\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500$

Rewrite Equation 1 to make P₁ the subject:

$\implies \sf P_1=7000-P_2$

Substitute this into Equation 2 and solve for P₂:

$\implies \sf 0.05(7000-P_2)+0.08P_2=500$

$\implies \sf 350-0.05P_2+0.08P_2=500$

$\implies \sf 0.03P_2=150$

$\implies \sf P_2=\dfrac{150}{0.03}$

$\implies \sf P_2=5000$

Substitute the found value of P₂ into Equation 1 and solve for P₁:

$\implies \sf P_1+5000=7000$

$\implies \sf P_1=7000-5000$

$\implies \sf P_1 = 2000$

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0

1 year ago

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent th

Effectus [21]

Answer:

y = 89 x = 123

Step-by-step explanation:

since they're both in standard form, its easier to do the process of elimination

x - y = 34

-x -y -212

------------------

-2y = -178

y = 89

now plug in y to any one of those two equations

x - y = 34

x - 89 = 34

x = 123

to check:

x + y = 212

123 + 89 = 212

212 = 212

6 0

3 years ago