Question

19. 2x + 3y = 2
3x + 4y = 7

Answer 1

@jim_thompson5910

Answer 2

Is there a specific method that is recommended?

Answer 3

addition or subtraction

Answer 4

Still quite a few ways to go about it. Here's one such way...

Stare at the coefficients on the x's.

What is the least common multiple of 2 and 3?

Answer 5

1

Answer 6

No, that's a divisor. We need a multiple.

Answer 7

6

Answer 8

That's better.

Multiply the first equation by 3
Multiply the second equation of 2

See if anything interesting results.

Answer 9

3x+3y=15

Answer 10

Whence came that? That isn't anything. Is that the altered 1st equation, the altered 2nd equation, or something else?

Answer 11

x+y=5

Answer 12

I multiplied the first equation by 3 and the second by 2 and then subtractetd

Answer 13

STOP!! I don't know where you are going.

Start here.

2x + 3y = 2
3x + 4y = 7

Multiply the 1st equation by 3

6x + 9y = 6

Multiply the 2nd equation by 2

6x + 8y = 14

You should get to that point.

Answer 14

18x+27y=18
12x+16y=28

Answer 15

Why did you multiply them again? Just do it once.

Answer 16

oh srry

Answer 17

After Multiplying the 1st equation by 3 and the 2nd equation by 2, you are left with these two equations.

6x + 9y = 6
6x + 8y = 14

It is time to move to the subtraction.

Answer 18

y=-8

Answer 19

Almost magic, wasn't it? Okay, now how do you suggest we find a value for x?

Answer 20

plug in y

Answer 21

Note: "plug in" Never say that.

Please feel free to SUBSTITUTE the given value for y into any ORIGINAL equation.

Answer 22

2x + 3(-8) = 2
3x + 4(-8) = 7
2x-24=2
3x-32=7
2x=26
x=13
3x=39
x=13

Answer 23

Fair enough. Notice how only one was necessary?

Answer 24

ty!!!!!!!!!!!!!!!!

Answer 25

No worries. It's what we do around here! :-)