By using the substitution method, the equation solved and get the values of x and y as x = 3 and y = - 4
Explanation:
Given equations are:
4 x + 2 y = 4 ……….(1)
x - 3 y = 15 …………(2)
Now, use the substitution method to solve the given two equations. Multiply equation 2 by 4 on both sides, we will get
4 x - 12 y = 60 ……..(3)
Now, subtract equation 1 from equation 3, we get
(4 x + 2 y) - (4 x - 12 y) = 4 - 60
14 y = - 56
y = - 4
Hence, from the above equation, we get the value of y.
Now, we put the value of y in equation 2, we get
x - 3(-4) = 15
x + 12 = 15
x = 3
Hence, the value of x and y by using the substitution method as,
x = 3 and y = - 4