Question

PLEASE HELP!!!

What is the solution to this system of equations?
-3x+5y=-2
3x+7y=26

1. (4,2)
2. (2, 3 1/3)
3. no solution
4.infinitely many solutions

Answer 1

found:

x=−3

y=5

Step-by-step explanation:

I would multiply the first equation by −4 and the second by 3 and add together the two equatins (in columns):

{−12x−28y=−104

{12x+15y=39

0−13y=−65

So: y=6513=5

Substitute back this value into the first equation:

3x+7⋅5=26

3x=26−35=−9

x=−93=−3

Step-by-step explanation:

Its second

Answer 2

(4,2)

Step-by-step explanation:

-3x+5y=-2

3x+7y=26

I will add the two equations to eliminate x

-3x+5y=-2

3x+7y=26

---------------------

0x + 12y = 24

Divide by 12

12y/12 = 24/12

y =2

Now find x

3x+7y =26

3x+7*2 =26

3x+14= 26

Subtract 14 from each side

3x+14-14 =26-14

3x= 12

Divide by 3

3x/3 =12/3

x=4