Question

4x+2y=4,x-3y=15 how would u substitute this equation for both?

Answer 1

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