Question

Hello can someone help me by doing a step by step about the System of Equations Using Elimination (No Solution)

Here's a question example!
x + 3y = 3
4x + 12y = 9
Thank you so much!

Answer 1

Equation: x+3y=3 Step by Step: First, subtract the x from the left to the right. 3y=-x+3 Then, divied 3 by everything leaving you with just y. (y=-x/3+1 Answer: y=-x/3+1

Answer 2

No solution

Explanation:

The elimination method is a way to solve systems of equations by eliminating one of the variables. This can be done by multiplying one or both equations by a constant so that the coefficients of one variable are opposites. Then, the two equations are added or subtracted together, which eliminates the variable. The remaining equation can then be solved for the other variable.

In order to solve a system of equations using elimination (no solution), we can follow these steps:

Write both equations in standard form.

x + 3y = 3

4x + 12y = 9

Eliminate one variable by multiplying one or both equations by a constant so that the coefficients of one variable are opposites.

In this case, we can multiply the first equation by -4 to eliminate x.

-4x - 12y = -12

4x + 12y = 9

Add the two equations together.

0 = -3

Since 0 cannot equal -3, the system has no solution.

Therefore, the system of equations x + 3y = 3 and 4x + 12y = 9 has no solution.