2x + 4y = 12 and y = x - 3. What is the solution to the system of equations?

Solution:

Given: Linear equations are 

2x + 4y = 12 --- (1)

y = x - 3 --- (2)

Let us use the substitution method to solve the system of linear equations.

Substitute the equation (2) in (1)

2x + 4(x - 3) = 12

By further calculation,

2x + 4x - 12 = 12

6x = 12 + 12

6x = 24

Divide both sides by 6

x = 4

Substitute the value of x in equation (2)

y = 4 - 3

y = 1

Therefore, the solution to the system of equations is (4, 1).

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2x + 4y = 12 and y = x - 3. What is the solution to the system of equations?

Summary:

2x + 4y = 12 and y = x - 3. The solution to the system of equations is (4, 1).