Question

If 3x + 2y = 1 and
2x + 7y = 3

How do you find x and y step by step?

Answer 1

Explanation:

First, you can multiply the both equation by one of the coefficient of either X or Y as shown above.

Secondly, after doing that you can multiply one of the equations by the negative sign in order for one of the coefficient to cancel out.

From there you can find X

After getting X , you can put the answer you get into any equation of your choice. collect like terms and then you'll find Y.

Hope this helps. If you don't understand use the picture if the solving above for better explanation. Thanks

Answer 2

Explanation:

there are 2 main approaches (in their core they are the same, of course, but they look different) :

1. use one equation to express one variable by the second, and then use this in the second equation to solve for the remaining variable. with that you go back into the first equation and solve for the first variable.

2. multiply both equations by certain factors as needed, then add both results, so that there is one summary equation with only one variable, and then solve for it. then use that in one of the original equations and solve for the second variable.

using 1.

3x + 2y = 1

3x = 1 - 2y

x = (1 - 2y)/3

2x + 7y = 3

2(1 - 2y)/3 + 7y = 3

2(1 - 2y) + 21y = 9

2 - 4y + 21y = 9

17y = 7

y = 7/17

x = (1 - 2y)/3 = (1 - 2×7/17)/3 = (1 - 14/17)/3 =

= (17/17 - 14/17)/3 = 3/17 / 3 = 1/17

using 2.

multiply first equation by 2, the second by -3

6x + 4y = 2

-6x - 21y = -9

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

0 -17y = -7

-17y = -7

17y = 7

y = 7/17

and so on (as under 1.).