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3 years ago

Solve the system of linear equations below y=-2x+19 y=x+7

Mathematics

2 answers:

olga2289 [7]3 years ago

7 0

Answer with Step-by-step explanation:

We are given a system of linear equations:

y= -2x+19

y=x+7

On equating the above system, we get

-2x+19=x+7

-2x-x= 7-19

-3x = -12

On dividing by -3 on both sides, we get

x=4

Putting x=4 in y=x+7, we get

y= 4+7

y= 11

Hence, Solution of the system of linear equation y= -2x+19 y=x+7 is:

x=4 and y=11

Julli [10]3 years ago

3 0

A) y=-2x+19
B) y=x+7 Multiplying B) by -1
B) -y = -x -7 then adding it to A)
A) y = -2x + 19
3x = 12
x = 4
y = 11

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3. Sam and Tim each have savings accounts. Every month they each put in some of their

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Answer:

$y = 30x +50$ --- Sam

$y = 20x +80$ --- Tim

Step-by-step explanation:

Given

Sam Tim

х --- f(x) --------------- g(x)

1 --- 80 --------------- 100

2 --- 110 --------------- 120

3 --- 140 --------------- 140

4 --- 170 -------------- 160

Required

Determine the y value

y value implies the equation of the table

Calculating the equation of Sam

First, we need to take any corresponding values of x and y

$(x_1,y_1) = (1,80)$

$(x_2,y_2) = (4,170)$

Next, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{170 - 80}{4 - 1}$

$m = \frac{90}{3}$

$m = 30$

Next, we calculate the line equation using:

$y - y_1=m(x-x_1)$

$y - 80 = 30(x - 1)$

$y - 80 = 30x - 30$

Make y the subject

$y = 30x - 30 + 80$

$y = 30x +50$

Calculating the equation of Tim

First, we need to take any corresponding values of x and y

$(x_1,y_1) = (1,100)$

$(x_2,y_2) = (4,160)$

Next, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{160 - 100}{4 - 1}$

$m = \frac{60}{3}$

$m = 20$

Next, we calculate the line equation using:

$y - y_1=m(x-x_1)$

$y - 100 = 20(x - 1)$

$y - 100 = 20x - 20$

Make y the subject

$y = 20x - 20+100$

$y = 20x +80$

7 0

2 years ago

Define the following propositions: .p: You drive over 65 miles per hour q You get a speeding ticket Translate the following Engl

sveticcg [70]

Answer:

a.p→¬q

b.¬p→¬q

c.q→¬p

Step-by-step explanation:

p:You drive over 65 miles per hour

¬p: You do not drive over 65 miles per hour

q:You get a speeding ticket

¬q:You do not get a speeding ticket

(a) You drive over 65 miles per hour, but you do not get a speeding ticket

the first sentence is p and because the consequence is the opposite of q then is no q

p→¬q

(b) If you do not drive over 65 miles per hour, then you will not get a speeding ticket

The first sentence is the opposite of p (¬p), and the second sentence is the opposite of q

¬p→¬q

The first one is q, and the second one is the opposite of p so

q→¬p

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3 years ago