All categories

2 years ago

X=4y+7 2x-6y=12 System of equations using substitution

Mathematics

1 answer:

Sonja [21]2 years ago

7 0

Answer:

x=3, y=-1

Step-by-step explanation:

We are already given an equation solved for x, making substitution much easier. We know x=4y+7, meaning we can put 4y+7 whenever we see x in the second equation

2x-6y=12

We substitute 4y+7 in place of x

2(4y+7)-6y=12

Now we only have one variable to work on, distribute the 2

8y+14-6y=12

Combine similar terms, 8y-6y=2y

2y+14=12

Subtract 14 from both sides

2y=-2

y=-1

Now we plug in -1 for y in the first equation to find x

x=4(-1)+7

x=-4+7

x=3

You might be interested in

Evaluate 3p/q when p=2and q=6

Ira Lisetskai [31]

So we know what the variables are already.

$\frac{3*2}{6}$

Now, 3 x 2 = 6.

So our fraction is 6/6.

6/6 is also equal to 1.

6 0

2 years ago

Read 2 more answers

Four baskets contain 1, 4, 6, and 9 apples respectively. At least how many apples should be moved between the baskets to have th

creativ13 [48]

Answer:

Mmmm tricky but I'll try..

take away 4 apples from the basket with 9 and place it in the one with 1 apple

then take away one apple from the one with 6 and place it in the basket with 4

And now you have 5 apples in each basket

Happy now?

4 0

2 years ago

Can someone check my answers an see if correct. TYSM!!<br> ΔEFG ≅ ΔHJK

trapecia [35]

Answer:

Is here a pic that goes with it?

Step-by-step explanation:

5 0

2 years ago

Shelby is creating a budget for the week. At her job she earns $15.50 per hour. Her rent cost $300. Shelby wants to have at leas

netineya [11]

Answer:

15.5x - 300 >= 280

Step-by-step explanation:

Let x = the number of hours she works.

The amount of money she earns will be 15.50x

Her rent costs $300, so that value gets subtracted from the amount she earns. That makes our expression for how much money she earns:

15.5x - 300

This amount has to be over 280, so our inequality will be:

15.5x - 300 >= 280

8 0

2 years ago

Which graph most likely shows the experimental probability histogram of X based on 100 data points?

Archy [21]

Answer:

see attached

Step-by-step explanation:

Based on 100 trials, we don't expect the experimental probability to deviate much from the theoretical probability. The scales on the attached graphs are hard to read, but you want to choose the graph that ...

has bars that total 100 in their length
has bars that are approximately .50, .25, .17, .08 in height, corresponding to the area fraction

We think the appropriate choice may be C, but we cannot tell for sure.

3 0

2 years ago