All categories

3 years ago

Use the method of elimination to solve the following pairs of simultaneous equations 4p+3q=9

Mathematics

1 answer:

mr_godi [17]3 years ago

7 0

Answer:

P=3, q=-1

Step-by-step explanation:

4p+3q=9 equation 1

2p+3q=3 equation 2

-4p-3q=-9 multiply equation 1 by -1 to eliminate q

-2p+0=-6 add above 2 equations

-2p=-6

p=3

solve for q by inserting p value into either equation

2p+3q=3

2(3)+3q=3

6+3q=3

3q=-3

q=-1

You might be interested in

The circle shown is centered at the origin and contains the point (-4, -2). What is the length of the diameter of the circle? Ro

trasher [3.6K]

Step-by-step explanation:

Equation for circle centered at origin:

x² + y² = r².

Therefore r² = (-4)² + (-2)² = 20, r = √20.

Hence d = 2r = 2√20 = 8.94 (2d.p.)

8 0

3 years ago

Kimora’s cell phone company charges her $35 a month for phone service plus $.05 for each text message sent. How many text messag

professor190 [17]

Given that Kimora’s cell phone company charges her $35 a month for phone service plus $.05 for each text message sent.

Kimora's cell phone bill for one month is $52.

We need to determine the number of text messages Kimora sent for one month.

Also, we need to write and equation and solve it.

<u>The equation:</u>

Let x denote the number of text messages Kimora sent for one month.

Thus, the equation is given by

$35+0.05x=52$

Therefore, the equation for the number of text messages Kimora sent for one month is $35+0.05x=52$

<u>Solving the equation:</u>

We need to solve the equation $35+0.05x=52$

Subtracting both sides of the equation by 35, we get;

$0.05x=17$

Dividing both sides of the equation by 0.05, we get;

$x=340$

Therefore, the number of messages sent is 340.

3 0

3 years ago

What's the next number 2 3 5 7 11 13 17

maw [93]

The sequence 2, 3, 5, 7, 11 are the first five prime numbers. A prime number is a positive integer which has exactly 2 positive integer factore, one factor being 1 and the other factor is the positive number itself. So the next prime numbers after 11 are 13, then 17, 19, 23, 29, 31, 37, 41, 43

4 0

4 years ago

Read 2 more answers

Please help me with this homework question

castortr0y [4]

Answer:

∠ADB≅∠ABC by the Alternate Interior Angles Theorem

∠CAD≅∠ACB by the Alternate Interior Angles Theorem

∠BAD and ∠ADV are supplementary by the Consecutive Interior Angle Theorem

∠ABC and ∠BCD are supplementary by the Consecutive Interior Angle Theorem

5 0

3 years ago

Leon throws a ball off a cliff. The graph represents a relation that models the ball’s height, h, in feet over time, t, in secon

Svetlanka [38]

Answer:

The answer is A :))

Step-by-step explanation:

4 0

4 years ago