Ireally need

4. which ordered pair is a solution to the system of equations? use any method to solve.
2x - y = 5
3x + 2y = 4

a. (5,5)
b. (0,2)
c. (2,-1)
d. (-1,-7)

12. what is the solution to the system of equations? use the linear combination method.

3x+2y=7
5x-4y=19

a. there are an infinite number of solutions.
b. the solution is (3,-1).
c. there is no solution.
d. the solution is (5, 1).

no 4.

using substitution method

2x - y = 5...(i)

3x + 2y = 4...(ii)

making y subject of formula in (i)

2x-y=5

2x-5=y

substitute y in (ii)

3x+2(2x-5)=4

opening bracket

3x+4x-10=4

collecting like terms

3x+4x=4+10

7x=14

dividing both sides by 7

7x/7=14/7

x=2.

but y=2x-5

y=2(2)-5

y=-1.

solution=(2,-1)

3x+2y=7...(i)

5x-4y=19...(ii)

multiply (i) by 2 and (ii) by 1

3x+2y=7}×2

5x-4y=19}×1

we get;

6x+4y=14

5x-4y=19

adding the two equations,

6x+5x=11x

4y+-4y=0

14+19=33

new equation

11x=33

divide both sides by 11

11x/11=33/11

x=3

replacing x in (i)

3x+2y=14

3(3)+2y=14

9+2y=14

2y=14-9

dividing both sides by 2

2y/2=5/2

y=5/2 or 2.5

solution=(3,5/2) which is not in the choices.

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!

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.