MATHEMATICS HIGH SCHOOL

Solve the system using elimination. Write the solution as an ordered pair. (1 point) SHOW YOUR WORK FOR FULL CREDIT! (2 points)13x + y = 15
-9x - 3y = -15

Answers

Answer 1
Answer:

Answer: (1,2)

Step-by-step explanation:

You must:

- Multiply the first equation by 3.

- Add both equations.

- Solve for the variable left. In this case will be x.

Then:

\left \{ {{39x +3y = 45} \atop {-9x - 3y = -15}} \right.\n------\n 30x=30\nx=1

Substitute x=1 into any of the original equtions and solve for y:

13(1)+y=15\ny=2

The solution is: (1,2)
Answer 2
Answer:

Answer:

The solution of the system of equation is (1 , 2)

Step-by-step explanation:

The system of equation is:

* 13x + y = 15 ⇒ (1)

* -9x - 3y = -15 ⇒ (2)

- By using elimination ⇒ we must make on of the

 two variables in the two equations has the same value

 with different sign

- So we will multiply equation (1) by 3 to eliminate y

∴ 3(13x) + 3(y) = 3(15)

∴ 39x + 3y = 45 ⇒ (3)

- Now add (2) and (3)

∴ 39x + -9x = 45 + -15

∴ 30x = 30 ⇒ ÷ 30 both sides

∴ x = 1

- Substitute the value of x in equation (1) or (2)

- Lets use (1)

∴ 13(1) + y = 15

∴ 13 + y = 15 ⇒ subtract 13 from both sides

∴ y = 15 - 13  

∴ y = 2

∴ The solution of the system of equation is (1 , 2)

Related Questions

Transform the equation x-3y=-15 to express it in slope-intercept form
F(x)=-x+4 and g(x)=-2x-3 solve for f(g(x)) x=2
Use a complete sentence to describe how axioms about addition in particular could be helpful in developing theorems about multiplication.
What is 45% of 40 in part, whole, and percent?
Jasmine bought a 2-liter bottle of soda. How many milliliters of soda were in the bottle?

Kirby places frog and Beth's snail on point 0 in on the number line. As Beth's snail slowly slimed forward in the positive direction, Kirby's frog hopped in the opposite direction. By the time Beth's snail reached the number 2, Kirby's frog me four jumps, each 3 units long. How far apart are the snail and the frog at this point?​

Answers

That picture doesn't have anything to do with the problem.

Snail went right, into positive numbers, frog went left, negative numbers.  Their distance is the absolute difference.

d = | 2 - 4(-3) | = | 14 | = 14

Answer: 14

Evaluate 2(x+1)-3 when x=6

Answers

Answer:

First put the value of X

2 ( 6+1 ) - 3

2×7-3

14-3

=11

Entre os alunos que frequentam o Ensino Profissional na escola do Carlos foi recolhida umaamostra de 50 aos quais se colocou a questão:

«Qual das seguintes frases exprime melhor o teu gosto pelo estudo da Matemática?

Gosto muito.
Gosto de certos conteúdos.
Gosto pouco.
Não gosto nada.»
O seguinte gráfico traduz as respostas obtidas à questão anterior.





1.1. Indique a variável em estudo e a sua natureza.

1.2. Calcule a percentagem de alunos que responderam «Gosto muito».

1.3. Observe a seguinte tabela ainda referente à mesma questão.



Rapazes

Raparigas

Gosto muito

12

6

Gosto de certos conteúdos

8

7

Gosto pouco

6

6

Não gosto nada

2

3

Escreva um pequeno texto no qual justifique que, neste estudo, os rapazes mostraram ter um maior gosto pelo estudo da Matemática

Answers

Answer:

taco

Step-by-step explanation:

no hablos espanol

Find area of the triangle 15ft 10ft 10ft

Answers

Answer:

75

Step-by-step explanation:

i'm going to assume that the base is 10, the formula for a triangle is base x height divided by 1/2 (or 2)

15height x 10base = 150 now divided by 2, 150/2 = 75

Find the value of x.log 3 x = 4

A.) 7
B.) 12
C.) 27
D.) 81

Answers

Hello from MrBillDoesMath!

Answer:

Choice D, 81

Discussion:

By log 3x = 4 I presume that "3" is the base not a multiplier of x. Assuming it is the base, then the equation is equivalent to

x = 3^4

  = 81

This is Choice D.


Thank you,

MrB

Answer:

it's D

Step-by-step explanation:

i did the test

The equation of line WX is y = −2x − 5. Write an equation of a line perpendicular to line WX in slope-intercept form that contains point (−1, −2). y = 1 over 2x + 3 over 2 y = negative 1 over 2x + 3 over 2 y = 1 over 2x − 3 over 2 y = − 1 over 2x − 3 over 2

Answers

good job im not in high school yet but yea 
Other Questions
Mixed numbers and improper fractions are often the result of measurements or calculations. a. True b. False
which of the following is a point slope equation of a line with the point (-6,2) and a slope of 1/2?
What is the area of the composite figure?
Evaluate the expression 2x - (4y - 3) + 5xz, when x = -3, y = 2, and z = -1