Question

Solve the equation and give the solution 6x – 3y = 3 –2x + 6y = 14

Answer 1

Answer: x = 39/10, y = 94/30

Step-by-step explanation:

6x - 3y = 3 - 2x + 6y,

Now solving this becomes

6x + 2x -3y - 6y = 3

8x - 9y = 3 ------------------- 1

3 - 2x + 6y. = 14

-2x + 6y = 14 - 3

-2x. + 6y = 11

Now multiply both side by -1

2x. - 6y = -11 ----------------- 2

Solve equations 1 & 2 together

8x - 9y. = 3

2x - 6y = -11

Using elimination method

Multiply equation 1 through by 2 ,and equation 2 be multiplied by 8

16x - 18y = 6

-16x - 48y = -88 ------------------------- n, now subtract

30y = 94

Therefore. y = 94/30.

Now substitute for y in equation 2

2x - 6y = -11

2x - 6(94/30) = -11

2x - 94/5 = -11

Now multiply through by 5

10x - 94 = -55

10x = -55 + 94

10x = 39

x = 39/10

Answer 2

x=3.9 or 39/10 and y=3.13333 or 47/15

Explanation:

Since both expressions (6x-3y) and (3-2x+6y) are equal to 14, separate the equations:

6x-3y=14 and 3-2x+6y=14

Simplify the equations

6x-3y=14 and -2x+6y=11

Now, line the equations up and pick a variable (either x or y) to eliminate

6x-3y=14

-2x+6y=11

In this case, let's eliminate y first. To do so make the y values in both equations the same but with opposite signs. Make both be 6y but one is +6y and the other -6y

Multiply (6x-3y=14) by 2 to get:

12x-6y=28

Line the equations up and add or subtract the terms accordingly

12x-6y=28

-2x+6y=11

This becomes:

10x+0y=39

Isolate for x

x= 39/10 or x= 3.9

Now substitute the x value into either of the original equations

6x-3y=14

6(3.9)- 3y=14

Isolate for y

23.4-14=3y

3y= 9.4

y= 3.1333 (repeating) or y= 47/15