Question

Solve the system of equations:

3x−2y−5=0
x−y+10​=0​

What is the x-value of the solution? Ensure there are no spaces in your answer, and include a comma in your response.

Answer 1

To solve the system of equations, we first express y in terms of x using the second equation and then substitute into the first equation. After simplifying, we find that the x-value of the solution is 7.

Step-by-step explanation:

To solve the system of equations given as 3x − 2y − 5 = 0 and x − y + 1 = 0, we need to use methods such as substitution, elimination, or graphical comparison. Given the typo in the second equation, we will assume the correct form is x − y + 1 = 0, as suggested by the structure of this question.

First, manipulate the second equation to express y in terms of x:

x − y + 1 = 0

y = x + 1

Now substitute y in the first equation with the expression from the second equation:

3x − 2(x + 1) − 5 = 0

3x − 2x − 2 − 5 = 0

x − 7 = 0

x = 7

Therefore, the x-value of the solution is 7.