What is the value of x in the solution to the following system of equations?

1 answer:

6 0

So for this, we will be using elimination method. With these two equations, subtract (x - y = -3) from (x + 3y = 5) to get $4y=8$ . From here we can solve for y.

For this, just divide both sides by 4, and your answer will be $y=2$

Now that we have the value of y, substitute it in into either equation to solve for x:

$x-2=-3\\ x=-1\\ \\ x+3*2=5\\ x+6=5\\ x=-1$

In short, x = -1.

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Keith is racing his little sister Pattie and has given her a 15 foot head start. She runs 5ft/sec and he is chasing at 8ft/sec.

hodyreva [135]

Pattie runs at 5 ft/sec
She has got a head start of 15 feet.
So after 1 second, Pattie runs = (5+15) ft 
 = 20 ft
After 2 second Pattie runs = (20+5)ft
 = 25 ft
After 3 second Pattie runs = (25+5) ft
 = 30 ft
After 4 seconds Pattie runs = (30+5) ft
 = 35 ft
After 5 seconds Pattie runs = (35+5) ft
 = 40 ft
After 6 seconds Pattie runs = (40+5) ft
 = 45 ft
Now Keith runs at 8 ft/sec
After 1 second Keith runs = 8 ft
After 2 second Keith runs = (8+8) ft
 = 16 ft
After 3 second Keith runs = (16+8) ft
 = 24 ft
After 4 second Keith runs = (24+8) ft
 = 32 ft
After 5 second Keith runs = (32+8) ft
 = 40 ft
After 6 second Keith runs = (40+8) ft
 = 48 ft
So Pattie will stay ahead of Keith upto 4 seconds. In the 5th second Pattie and Keith will be level and in the 6th second Pattie will be overtaken by Keith.

8 0

4 years ago

Even the measure ofAngle six is 62 what is the measure of angle five

Agata [3.3K]

∠5 = 118

Step-by-step explanation:

If you look closely at this image, you can see that ∠6 and ∠5 together will be equal to line c.

A straight line is equal to 180 so if we do...

$180-62$