Question

solve for x and y: x-4y-14=0 ,5x-y-13=0

Answer 1

x - 4y = 14-------------------1
5x - y = 13 ------------------2
Mul by 4 to equation 2 then add
x - 4y= 14
20x - 4y =52
- + -
-----------------
-19x = - 38
-------------------
19x =38
x = 2
value of x put in equation 2
5*2 - y = 13
10 - y = 13
-y = 13 - 10
-y = 3
y = - 3
SO VALUE OF X AND Y ARE 2 & - 3 Respectively

Answer 2

Step-by-step explanation:

x−4y−14=0

5x−y−13=0

or

x−4y=14 .....(1)

5x−y=13 .....(2)

5×(1)−1×(2) we get

5x−20y−5x+y=70−13

⇒−19y=57

⇒y=

−19

57

=−3

Put y=−3 in (1) we get

x−4×−3=14

⇒x+12=14

⇒x=14−12=2

∴x=2,y=−3