Yes, the equations are similar to the form you described, and one has a blank space which you need to fill a number in in order for the equation system to have no solution

Thank you for the clarification! Since we're looking to make the system of equations have **no solution**, our goal is to set up an inconsistent system by making the lines parallel.

### The approach:
The general system of linear equations can be represented as:
1. \( a_1x + b_1y = c_1 \)
2. \( a_2x + b_2y = c_2 \)

For the system to **not have a solution**, we need the ratio of the coefficients of \(x\) and \(y\) in both equations to be equal, while the ratio of the constant terms must not be the same. This implies the equations describe parallel lines with no intersection.

Mathematically:
- \( \frac{a_1}{a_2} = \frac{b_1}{b_2} \)
- But \( \frac{c_1}{c_2} \neq \frac{a_1}{a_2} \)

Could you confirm whether there is a second equation in the image, so that I can fill in the missing coefficient accordingly? If so, I’ll complete the equation that would make the system inconsistent.

Understand how to create a system of linear equations that has no solution. Learn about the conditions necessary to make the equations inconsistent and parallel. Suitable for students studying systems of equations and linear algebra in Grades 9-12.

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