MATHEMATICS HIGH SCHOOL

4x + y =1
x + 2y = 9

Answers

Answer 1

Answer:

Answer:

x=-1 y=5

Step-by-step explanation:

A. 4x+y=1 multiply the equation negative 2

B. x+2y=9

-8x-2y=-2 add this to equation b

x+2y=9

-7x=7 divide both sides by -7

x=-1

now substitute x for -1 in either of the original equations

-4+y=1 add 4 to both sides

y=5

-4+5=1

-1+10=9

Related Questions

Which of the following lists is in order from smallest to largest?0.05, 0.2, 0.48, 0.6 0.2, 0.05, 0.48, 0.6 0.2, 0.48, 0.05, 0.6 0.05, 0.2, 0.6, 0.48
Which is the standard form of the equation of the parabola that has a vertex of (3, 1) and a directrix of x = –2?a) (x-3)^2 = 20(y-1) b) (y-1)^2 = 20(x-3) c) (y-1)^2 = -20(x-3) d) (x-3)^2 = 20(y-1)
Samira ran around a park loop that was 1/3 mile long. She ran around the loop 9 times. Samira says she ran 9/3 miles. Her brother Amal says she ran 3 miles. Who is correct? Use words and drawings to explain how you know.
Which radical expression is equivalent to 5^2/3?sqrt 125 ^3 sqrt 5 ^3 sqrt 25 sqrt 5
Which of the following expressions are equivalent to 16a³b²-8a565 +12a4b? Select all that apply.4a³b (4b-2a²b4 +3a) 2ab (8a²b-8a¹b² +6a³) 4a³65 (4a²b³-2+3ab¹) 2a²b (8ab-4a³b4 + 6a²) 4b (4a³b-2a564 +3aª) 2a (8a³b²-4a¹b5 +6a¹b)

What is marthian 15% of 60?

Answers

dunnow what marthian
percent means parts ot of 100
15%=15/100=0.15

'of' means multpily
15% of 60 means
0.15 times 60=9
answer=9

15% of 60

15/100 = .15

.15*60 = 9

Answer: 9

Add and simplify 9/16 + 1/2 =

Answers

$\boxed{\boxed{ \ (9)/(16) + (1)/(2) = (17)/(16) = 1(1)/(16) \ }}$

Further explanation

We will work on adding two fractions correctly with different denominators. The two denominators must be equated first.

In order to add these fractions, we need finding the common denominator by multiplying both denominators together.

$\boxed{(9)/(16) + (1)/(2) = \ ?}$

Both denominators, 16 and 2, are multiplied by one another. What about numerators? Pay attention to the treatment of each fraction.

$\boxed{= \big( (9)/(16) * (2)/(2) \big) + \big( (1)/(2) * (16)/(16) \big)}$

$\boxed{= (18)/(32) + (16)/(32)}$

$\boxed{= (34)/(32)}$

Let's take a break here to think.

Alternatively, develop a sharper method as below.

$\boxed{= ((9 * 2) + (16 * 1))/(16 * 2)}$

Note how this is performed. Absolutely indeed, cross-multiplication!

$\boxed{= (18 + 16)/(32)}$

$\boxed{= (34)/(32)}$

The numerator and denominator are divided by two to make it a simple fraction. After that, we simplify again into mixed fractions.

$\boxed{\boxed{ \ (9)/(16) + (1)/(2) = (17)/(16) = 1(1)/(16) \ }}$

Gently let's take a break once more to think strategically.

Observing the steps above, we still find a large number when there is a direct multiplication of the two denominators. Are there more highly recommended steps? Of course there is!

$\boxed{(9)/(16) + (1)/(2) = \ ?}$

The denominators 2 and 16 have LCM = 16. So, we convert the given fractions into equivalent fractions with denominator 16.

$\boxed{= \big( (9)/(16) * (1)/(1) \big) + \big( (1)/(2) * (8)/(8) \big)}$

$\boxed{= (9)/(16) + (8)/(16)}$

$\boxed{= (17)/(16)}$

Do not forget simplifying again into mixed fractions.

$\boxed{\boxed{ \ (9)/(16) + (1)/(2) = (17)/(16) = 1(1)/(16) \ }}$

Note:

In the form of fractions, the steps that must be considered are

equate the denominator,
simplify fractions, and
for the final answer, convert fractions to mixed fractions or decimal forms

Learn more

How do I solve brainly.com/question/1682776
90 is ¹/₁₀ of _________? brainly.com/question/96882
Investigating the stages of solving a word problem about one variable linear equations brainly.com/question/2038876

Keywords: add and simplify 9/16 + 1/2 =, solve, 2/7m - 1/7 = 3/14, operations, multiply, divide, fraction, equate, common denominator, numerator, both, LCM, alternative, different, method, way, steps, simple, mixed, convert, equivalent, cross-multiplication

Which of the following metals will react with water to produce a metal hydroxide and hydrogen gas? (2 points)Select one:
a. Al
b. Bi
c. Na
d. Fe

Answers

I think the correct answer from the choices listed above is option C. It is the metal Na that will react with water to produce a metal hydroxide and hydrogen gas. It reacts violently with water forming sodium hydroxide and the hydrogen gas.

MULTIPLICATION & DIVISIONEncircle the statement that gives the
greater product.
1. 29 x 8 92x3
2. 54 x 17 45 x 71

Yall i need it 20pts

Answers

Answer: Number 2

Explanation:

1. 29 x 8 = 232, 92 x 3 = 276
232 + 276 = 508

2. 54 x 17 = 918, 45 x 71 = 3195
918 + 3195 = 4113

Answer: Number 2 has the greater product.

Please help me!!
3. Determine whether or not AB is tangent to circle O. Show your work.

Answers

The line AB touching the circle at point B in the considered diagram is not tangent to the circle O.

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

$|AC|^2 = |AB|^2 + |BC|^2$

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

How are radius and tangent to a circle related?

There is a theorem in mathematics that:

If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to the line L.

So, if AB is a tangent, then ∠ABO = 90° and therefore satisfies Pythagoras theorem.

Assuming AB is tangent, then ABO is right angled we should get:

$H^2 = P^2 + B^2\n30^2 = 16^2 + 12^2\n900 = 256 + 144\n900= 500$

This statement is false, and therefore, so as our assumption is false that ABis tangent to circle O. Thus, AB is not tangent to circle O.

(so it might be that even if AB looks like touching at one point the circle O, but AB might be intersecting the circle at two points, or not touching it at all)

Thus, the line AB touching the circle at point B in the considered diagram is not tangent to the circle O.

Learn more about tangent to a circle here:

brainly.com/question/7942024

Answer:

not tangent

Step-by-step explanation:

two reasons, first

Triangle AOB is not a right triangle

line AB intersects the circle O at two points.

What is the answer the this question