Solve by elimination

Mathematics

1 answer:

garik1379 [7]3 years ago

5 0

$\left\{\begin{array}{ccc}5x-7y=16&\text{multiply both sides by 3}\\-3x+6y=-6&\text{multiply both sides by 5}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}15x-21y=48\\-15x+30y=-30\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad9y=18\qquad\text{divide both sides by 9}\\.\qquad y=2\\\\\\\text{Put the value of y to the first equation}\\\\5x-7(2)=16\\5x-14=16\qquad\text{add 14 to both sides}\\5x=30\qquad\text{divide both sides by 5}\\x=6\\\\Answer:\ x=6\ and\ y=2\to(6,\ 2)$

You might be interested in

Which is a simplified form of the expression -5(y – 2) – 7y?

seropon [69]

Distribute and combine like terms.

-5(y-2) - 7y
-5y + 10 - 7y
-12y + 10

A (-12y + 10) would be the answer.

4 0

3 years ago

Read 2 more answers

You start at (1, 0). You move up 4 units and down 2 units. Where do you end?

melisa1 [442]

Answer:

(1, 2)

Step-by-step explanation:

You are moving up 4 units, so that means you need to add to the y coordinate, which is 0. 0 + 4 = 4

The new coordinate is (1, 4)

Now you move down 2 units, that means you need to subtract from the y coordinate, which is now 4. 4 - 2 = 2

You will end at (1, 2)

4 0

2 years ago

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Daniel [21]

Answer: x = 11 degrees

Step by step explanation:
Triangle rule states that all angles of a trundle must equal to 180 degrees. So we have two known angles, therefore we can subtract them from the 180 degree total.
180-109-43
=28
Now to solve for x we have the equation
4x-16=28
We add 16 to both sides to isolate x
4x=44
Now we divide each side by 4 to get rid of the coefficient
x=11

6 0

3 years ago

Hey can you please help me posted picture of question

Sidana [21]

Number of outcomes when flipping a coin = 2
Favorable outcome is landing on head.
So,number of favorable outcomes = 1

Probability of getting a head when flipping a coin = $\frac{1}{2}$

Number of outcomes when rolling a dice = 6
Favorable outcomes are rolling 4,5 or 6.
So,number of favorable outcomes = 3

Probability of getting 4 or a bigger number when rolling a dice = $\frac{3}{6}= \frac{1}{2}$

Thus the probability of getting a head when flipping a coin and getting a number equal to or greater than 4 when a dice is rolled = $\frac{1}{2}* \frac{1}{2} = \frac{1}{4}$

So, option A gives the correct answer

6 0

4 years ago

Read 2 more answers

in the figure below trianglePQM and triangleQRP are right triangles. the measure of lineQM is 6 and the measure of lineQP is 8.

Kipish [7]

Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

$hypotenuse^2=base^2+perpendicular^2$