All categories

3 years ago

Consider the system of equations.

Mathematics

1 answer:

Xelga [282]3 years ago

3 0

Answer:

D and C

Step-by-step explanation:

Given the 2 equations

3x - y = 5 → (1)

2x + 3y = - 15 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate the y- term

9x - 3y = 15 → (3)

Add (2) and (3) term by term to eliminate y

11x + 0 = 0

11x = 0 ⇒ x = 0

Substitute x = 0 into either of the 2 equations and solve for y

Substituting into (2)

2(0) + 3y = - 15

0 + 3y = - 15

3y = - 15 ( divide both sides by 3 )

y = - 5

solution is (0, - 5 )

You might be interested in

How can we factorise the expression: 2x^6+17x^3+8?

LekaFEV [45]

Answer:

$(a + 2)( {a}^{2} - 2a + 4 )(2 {x}^{ 3} + 1)$

Step-by-step explanation:

$2x^6+17x^3+8 \\ = 2x^6+16x^3 + {x}^{3} +8 \\ = 2{x}^{3} ( {x}^{3} + 8) + 1( {x}^{3} + 8) \\ = ( {x}^{3} + 8)(2 {x}^{ 3} + 1) \\ = ( {x}^{3} + {2}^{3} )(2 {x}^{ 3} + 1) \\ = (a + 2)( {a}^{2} - 2a + {2}^{2} )(2 {x}^{ 3} + 1) \\ = (a + 2)( {a}^{2} - 2a + 4 )(2 {x}^{ 3} + 1) \\$

7 0

4 years ago

If m 1=(7x-19), and m 2=(x+5), find m 2

shutvik [7]

The value of m2 is 1/7(m1 + 54)

3 0

4 years ago

If there are 6 air conditioners in each require 8 pounds of refrigeration how many pounds of refrigeration are needed to fill al

djverab [1.8K]

8 times 6 = 48 so that’s the answer!

4 0

4 years ago

Error Analysis: George was trying to rearrange the formula below to slope-intercept form, y = mx + b. by

Nat2105 [25]

Answer:

George's mistake would be:

Instead of 2x + 40, she has made - x + 20.

Step-by-step explanation:

Slope - Intercept Form = y = mx + b

y + 20 = 2(x +20)

y + 20 = 2x + 40

- 20 - 20

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

y = 2x + 20

(Should have been the answer)

BUT,

George's Solving:

y + 20 = 2(x + 20)

y + 20 = -x + 20

George's Mistake would be her miscalculation during her 2nd step. Where instead of distributing 2 to (x + 20), she has changed it to -x + 20, when in reality, it should have been 2x + 40.

7 0

3 years ago

use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?

daser333 [38]

The solutions of the quadratic equation x² - 5x - 36 = 0 are -4 and 9.

The graph is attached below.

We are given a quadratic function.
A polynomial equation of degree two in one variable is a quadratic equation.
The function given to us is :
y = x² - 5x - 36
We need to find the solution of the quadratic function.
To find the roots, let y = 0.
x² - 5x - 36 = 0
Use the quadratic formula.
In elementary algebra, the quadratic formula is a formula that gives the solution(s) to a quadratic equation.
x = [-b±√b²-4ac]/2a
x = [-(-5) ± √25 - 4(1)(-36)]/2(1)
x = (5 ± √25 + 144)/2
x = (5 ± √169)/2
x = (5 ± 13)/2
x = 9 or x = -4

To learn more about functions, visit :

brainly.com/question/12431044

#SPJ1

3 0

1 year ago