All categories

3 years ago

Linear equations substitution

1 answer:

6 0

For example, y=x+4 and y=5x+2.
That would mean that x+4=y=5x+2.
Simplify it to x+4=5x+2.
x=5x-2
-4x=-2
x=1/2.
Now, plug x into one of the equations.
y=x+4
y=1/2+4
y=9/2.
Therefore, the POI is (1/2,9/2).

You might be interested in

the ratio of girls to boys in the six grade class is seven to six. If there are 84 girls, how many boys are in the six grade

padilas [110]

There are 72 boys. 7:6 = 84:?, divide 84 by 7, you get 12. Multiply 6 by 12 to get the answer.

4 0

2 years ago

Claire traveled 701 miles. She drove 80 miles every day. On the last day of her trip she only drove 61 miles. Write and solve an

mina [271]

Answer:

Claire traveled for 9 days.

Step-by-step explanation:

Given:

Total Distance traveled = 701 miles

Distance traveled each day = 80 miles

Distance traveled on last day = 61 miles

We need to find the number of days Claire traveled.

Solution:

Let the number of days Claire traveled be denoted by 'd'.

Now we can say that;

Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.

framing in equation form we get;

$80d+61=701$

Now Subtracting both side by 61 using Subtraction Property of Equality we get;

$80d+61-61=701-61\\\\80d = 640$

Now Dividing both side by 80 we get;

$\frac{80d}{80}=\frac{640}{80}\\\\d=8$

Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total <u>9 days</u> of travel.

7 0

3 years ago

PLEASE HELP ME. GEOMETRY REFLECTIONS!!! BOGUS ANSWERS WILL BE REPORTED

LUCKY_DIMON [66]

Trick question. For the reflections given in the problem statement, the x-coordinate doesn't change. The number that goes in the green box is 1.

8 0

3 years ago

What is the equation of the line in point-slope form that has a slope of -3 and passes through the point (5, 9)?

krek1111 [17]

Answer:

$y-9=-3(x-5)$

Step-by-step explanation:

The equation of the line in point-slope form is given as

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

Here m=-3 and (x1, y1)=(5, 9)

Therefore,

$y-9=-3(x-5)$

8 0

3 years ago

16 - 2t = t + 9 + 4t

Inga [223]

Answer:

t = 1

Step-by-step explanation:

16 - 2t = t + 9 + 4t

=> 16 - 9 = 7t

=> 7 = 7t

=> t = 1

$GeniusUser$

6 0

2 years ago