Question

What is the x-value in the solution to this system of linear equations?2x − y = 11x 3y = −5−3−124

Answer 1

The x-value for the solution of the given system of linear equations, assuming the system is 2x - y = 1 and 3y = -5, is x = -1/3. Substitution or elimination methods can be used to solve for x.

Step-by-step explanation:

The question asks about finding the x-value in the solution to a system of linear equations. Linear equations are generally in the form of y = a + bx, where a is the y-intercept and b is the slope. However, the provided equations seem to contain a typo or irrelevant parts. If we are to assume that the system is:

1. 2x - y = 1
2. 3y = -5

We can find the solution using substitution or elimination. Here's how you would use the substitution method:

1. Solve the second equation for y: y = -5/3.
2. Substitute the value of y into the first equation: 2x - (-5/3) = 1.
3. Solve for x: 2x + 5/3 = 1 (multiply every term by 3 to clear the fraction: 6x + 5 = 3).
4. Subtract 5 from both sides: 6x = -2.
5. Divide by 6: x = -2/6 = -1/3.

The x-value for the solution of the system of linear equations is x = -1/3.