All categories

3 years ago

Please please helpppp.

Mathematics

1 answer:

padilas [110]3 years ago

7 0

There are 3 ways of solving a simultaneous problem, substitution method, elimination method and Gauss-Jordan method. I'm gonna use the substitution method since it's easier and i think it would suit your level more.

First let's try solving for y since it's easier to start with.

Firstly we have to find an equation for x:

$x-2y=2\\x-2y+2y=2+2y\\x=2+2y$

Great, now we can use the substitution method to find the value of y using the first equation:

$2x+3y=11\\2(2+2y)+3y=11\\4+4y+3y=11\\7y=7\\y=1$

Now we know that y=1 we can solve the first equation we made:

$x=2+2y\\x=2+2(1)\\x=4$

And the answer is $x=4 , y= 1\\(4,1)$

Double check:

$2x+3y=11\\2(4)+3(1)=11\\8+3=11\\11=11\\\\x-2y=2\\(4)-2(1)=2\\2=2$

And that's our final answer! (4,1)

You might be interested in

Problem<br> 1<br> + 10x + 13 = 4

lutik1710 [3]

Answer:

$x = -1$

Step-by-step explanation:

Equation: $1+10x+13=4$

Step 1: Balance both parts of the equation.

$1+10x+13=4$

$(10x)+(1+13)=4$

$10x+14=4$

Step 2: Reduce 14 from both parts of the equation.

$10x+14-14=4-14$

$10x= -10$

Step 3: Split both sides by 10, because $\mathrn {10x = -10}$ .

$\frac{10x}{10} = \frac{-10}{10}$

$10 / -10 = -1$

Therefore, x = -1.

6 0

3 years ago

Please help! 3 Questions please show how you solved the problem

Masteriza [31]

Answer:

1) $(-y^2-4y-8+4y^2+6y-3)$

2) $32x^5y^4z^2$

3) $x^3-9x^2+14x+24$

Step-by-step explanation:

Given the expression we have to simplify the expression

1) $(-y^2-4y-8)-(-4y^2-6y+3)$

⇒ $(-y^2-4y-8+4y^2+6y-3)$

Combining like terms, we get

⇒ $3y^2+2y-11$

2.) $(2x^2y^3z^2)(4xy.4x^2)$

⇒ $(2x^2y^3z^2)(16x^3y)$

⇒ $32x^5y^4z^2$

3.) $(x-4)(x^2-5x-6)$

⇒ $x^3-5x^2-6x-4x^2+20x+24$

⇒ $x^3-9x^2+14x+24$

5 0

2 years ago

Identify the type of study design in the following scenario:

svetoff [14.1K]

Answer:

c. observational study

Step-by-step explanation:

<em>Researchers compare the rates of autism for children who did and did not receive the standard measles-mumps-rubella vaccine, to see if the vaccine might be responsible for autism in some children.</em>

This study design in the above scenario is observational study because the researcher are obviously observing whether the vaccine is affecting the children. Note that Observational study is like experiment which attempts to understand the cause and effect relationships on a subject.

4 0

3 years ago

Write the equation in standard form of a line that is parallel to the graph of 2x + y = 5 and whose y - intercept is (0,4).

babunello [35]

The line that is parallel to this line will have the same slope of this line, as the two will never intersect. They will run side by side. The line y = 2x - 5 is written in slope-intercept form, which is y = mx + b. The value of m represents the slope, and in this equation m = 2. Therefore, the line we are looking for will have a slope of 2 also.

That line should also be in slope-intercept form. We now know the value of m, but we also know the value of x and y. The ordered pair (8, 10) is a point on the line, and every ordered pair is in the form (x, y). Therefore, x = 8 and y = 10. We can plug those values into y = mx + b, along with m = 2. That gives us:

10 = 2(8) + b We need to solve for b.

10 = 16 + b

b = -6

5 0

2 years ago

NEED HELP IN Algebra 2

olganol [36]

Answer:

1) According to your choices, 3.

2) The other two points must be critical points/undefined (imaginary according to your choices)

3) Synthetic division

4) I don't see why the quadratic formula is a choice, but it's the last remaining option.

5 0

2 years ago

Read 2 more answers