Question

How do I solve this?

Answer 1

Answer: $x = -3$ and $y = 4$

Step-by-step explanation:

$2x+5y = 14$ ....................... equation 1

$6x+7y = 10$ ....................... equation 2

Using elimination method

multiply equation 1 by (3) and equation 2 by (1)

Then we have:

$6x + 15y = 42$    .................. equation 3

$6x + 7y = 10$ ................... equation 4

subtract equation 4 from equation 3 , we have

$8y = 32$

divide through by 8

$y = 4$

substitute $y = 4$ into equation 1 to get the value of x

that is :

$2x + 5(4) = 14$

$2x + 20 = 14$

$2x = 14 - 20$

$2x = -6$

$x = -3$

Therefore:

$x = -3$ and $y = 4$

Answer 2

Answer:

(x,y) (-3,4)

Step-by-step explanation: