The respective values of x and y in the equation 4x-y=7 and x+4y=3

Answer 1

To solve this system of equations, we can use the method of substitution or elimination.

1. Substitution method:
From the first equation, isolate y:
4x - y = 7
y = 4x - 7

Now substitute this value of y into the second equation:
x + 4(4x - 7) = 3
x + 16x - 28 = 3
17x - 28 = 3
17x = 31
x = 31/17
x = 1.82 (rounded to two decimal places)

Substitute x back into one of the original equations to find y:
4(1.82) - y = 7
7.28 - y = 7
-y = -0.28
y = 0.28

Therefore, the values of x and y are approximately x = 1.82 and y = 0.28.