HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Next she should;

C. Add 6·x + 3·y = -24 to 6·x - 2·y = -4

Step-by-step explanation:

To show that given a a system of two equations in (having) two unknowns, when one of the equations is replaced by the sum the equation being replaced and the multiple of the other equation gives a system with the same solution as the previous system, we proceed as follows;

The given system of equations are;

6·x - 2·y = -4

2·x + y = -8

Gabriela multiplies the second equation by 3, to get;

3 × (2·x + y) = 3 ×-8 = -24

6·x + 3·y = -24

She should add the equation above to the first equation to get;

Add 6·x + 3·y = -24 to 6·x - 2·y = -4

(6·x + 3·y) + (6·x - 2·y) = -24 + -4

12·x + y = -24

The new system becomes;

12·x + y = -28

2·x + y = -8

Subtracting the second equation from the first equation in the new system gives;

12·x + y - (2·x + y) = -28 - (-8) = -28 + 8 = -20

10·x + y - y = 10·x + 0 = -20

x = -20/10 = -2

From the second equation, we get;

y = -8 - 2·x = -8 - 2×(-2) = -4

y = -4

We verify if the solution is the same as the first system as follows;

6·x - 2·y = -4

2·x + y = -8

Therefore

6·(-2) - 2·(-4) = -4 (Correct)

2·(-2) + (-4) = -8 (Correct)

Therefore, the next step is to add 6·x + 3·y = -24 to 6·x - 2·y = -4

c

Step-by-step explanation:

answer: 2/4

step-by-step explanation:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.