Question

3x+4y=8 4x-y=3 solve x and y​

Answer 1

Answer:

x = 20/19 and y = 23/19

Step-by-step explanation:

We can solve these equations by the method of elimination of one variable:

3x + 4y = 8                                1.

4x - y = 3                                   2.

solving for x by eliminating y:

multiplying equation 2 by 4:

16x - 4y = 12                               3.

equation 3 + equation 1:

19x = 20

Hence, x = 20/19

solving for y by eliminating x:

multiplying equation 1 by 4 and equation 2 by 3:

12x + 16y = 32                             4.

12x - 3y = 9                                  5.

equation 4 - equation 5:

19y = 23

Hence y = 23/19

Hence x = 20/19 and y = 23/19

Hope this helps!

Answer 2

$\huge\star\huge\bold\pink{Answer}\star$

solve x of 3x+4y = 8

$3x+4y=8 \\ = 3x=8-4y \\ = \frac{3x}{3}=\frac{8-4y}{3} \\ = x=\frac{8-4y}{3}$

solve y of 3x+4y = 8

$3x+4y=8 \\ = 4y=8-3x \\ = y=\frac{8-3x}{4} \\ = y=-\frac{3x}{4}+2$

solve x of 4x-y=3

$4x-y=3 \\ = 4x=3+y \\ = 4x=y+3 \\ = \frac{4x}{4}=\frac{y+3}{4} \\ = x=\frac{y+3}{4}$

solve y of 4x-y=3

$4x-y=3 \\ = -y=3-4x \\ = \frac{-y}{-1}=\frac{3-4x}{-1} \\ = y=\frac{3-4x}{-1} \\ = y=4x-3$