All categories

4 years ago

How to solve a system with variables

1 answer:

6 0

You can solve a system with variables by:

1. Pick any two pairs of equations from the system.

2. Eliminate the same variable from each pair using the Addition/Subtraction method

3. Solve the system of the two new equations using the Addition/Subtraction method

4. Substitute the solution back into one of the original equations and solve for the third variable

5. check by plugging the solution into one of the other three equations

You might be interested in

Which of the following expressions are equivalent? Justify your reasoning.

Fynjy0 [20]

A. $4\sqrt{x^{3}$
    $4\sqrt{x^{2} * x}$
    $4\sqrt{x^{2}}\sqrt{x}$
    $4x\sqrt{x}$

b. $\frac{1}{x^{-1}} =x$

c. $10\sqrt{x^{5} * x^{4} * x^{2}}$
    $10\sqrt{x^{11}$
    $10\sqrt{x^{10}* x}$
    $10\sqrt{x^{10}}\sqrt{x}$
    $10x^{5}\sqrt{x}$

d. $x^{\frac{1}{3}} * x^{\frac{1}{3}} * x^{\frac{1}{3}}$
    $x$

The expressions that are equivalent are B and D.

3 0

3 years ago

Please help me with this

Kisachek [45]

All you need to do is replace the variables with the numbers given.

t=9 & u=11

3+ 11t - 9u

3+ 11(9)-9(11)

3+ 99 - 99

The 99's cancel each other out, so you are left with 3.

The answer is 3.

7 0

3 years ago

Read 2 more answers

What is the distance between points (-3, -1) and (2, 3)?

Tju [1.3M]

Answeer is 6.40
Thanks for the brainliest ;)

5 0

3 years ago

Read 2 more answers

Which system of equations is equivalent to the system of equations shown?

tino4ka555 [31]

x+y= 4 (-2)
3x+2y = 9

-2x -2y = -8
3x +2y = 9
x = 1

1+y =9
y = 9-1
y =8

7 0

4 years ago

Read 2 more answers

Jay owns some DVDs. Lamar lives next to Jay and three houses from Freda. Lamar has 2 fewer DVDs than Jay. Davina lives on the ot

podryga [215]

Answer:

Step-by-step explanation:

Freda lives in house 6. Lamar lives 3 houses from Freda, so lives in house 3. Jay lives next to Lamar, but not in house 2, which is Bart's. So, Jay lives in house 4 and Davina lives in house 5, on the other side of Jay from Lamar.

Davina lives in house 5, so has the most DVDs.

Since Freda gave p DVDs to Jay, she has 17-p. Lamar has p-2, Bart has p+4, Tara has 4p-13, and Davina has the most at 3(p-2).

We want Davina to have the most DVDs, so there are some inequalities that must be true:

3(p-2) > 4p-13 ⇒ p < 7

3(p-2) > p +4 ⇒ p > 5

The only value of p satisfying both of these requirements is p = 6.

_____

Tara lives in house 1 and has 11 DVDs.

Bart lives in house 2 and has 10 DVDs.

Lamar lives in house 3 and has 4 DVDs.

Jay lives in house 4 and has 6 DVDs.

Davina lives in house 5 and has 12 DVDs. (the most)

Freda lives in house 6 and has 11 DVDs.

5 0

3 years ago