Y = -3x - 2 and 5x + 2y = 15

Mathematics

1 answer:

denis-greek [22]2 years ago

8 0

Answer:

(-19, 55)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -3x - 2

5x + 2y = 15

Step 2: Solve for x

Substitution

Substitute in y: 5x + 2(-3x - 2) = 15
Distribute 2: 5x - 6x - 4 = 15
Combine like terms: -x - 4 = 15
Isolate x term: -x = 19
Isolate x: x = -19

Step 3: Solve for y

Define original equation: y = -3x - 2
Substitute in x: y = -3(-19) - 2
Multiply: y = 57 - 2
Subtract: y = 55

You might be interested in

5^2•3^-1•5^-3/3^4•5^-1•3^-3

puteri [66]

Assuming you want the expression to be simplified.

We begin with the following:

$5^{2} * 3^{-1} * \frac{5^-3}{3^{4}} * 5^{-1} * 3^{-3}$

Simplify the first part, $5^{2}$ . That is 25. Now we have this:

$25*3^{-1.5} * \frac{-3}{3^{4}} * 5^{-1} * 3^{-3}$

Next, simplify $3^{-1}$ , which is 1/3, and get this:

$25* 1/3 * \frac{-3}{3^{4}} * 5^{-1} * 3^{-3}$

The next part is $\frac{5^-3}{3^{4}}$ . Simplify the denominator, $3^{4}$ , which is 81. Simplify the numerator, which is 1/125. Then divide 1/125 by 81, which we will keep as a fraction for simplicity's sake, but simplify it to $\frac{1}{10125}$ . Now we have:

$25* 1/3 * \frac{1}{10125} * 5^{-1} * 3^{-3}$

Now simplify $5^{-1}$ , which is 0.2, or 1/5. Now we have:

$25* 1/3 * \frac{1}{10125} * 0.2 * 3^{-3}$

Finally, simplify $3^{-3}$ . That is 1/27. We have:

$25* 1/3 * \frac{1}{10125} * 0.2 * 1/27$

Lastly, multiply them all together! Now we are done, with the product of:

$\frac{1}{6075}$

That certainly did take a while to type in all the LaTex, so I really hope that helped!

Note- if anything isn't working with the LaTex, just tell me and I'll fix it! (:

3 0

2 years ago

13-3i=-8 what does i equal

vladimir2022 [97]

Answer:

i = 7

Step-by-step explanation:

13 - 3i = -8 -> -3i = -21 -> i = 7

5 0

2 years ago

Read 2 more answers

Is 45.07 x 3.25 an overestimate