Question

Identify a solution to this system of equations: -4x + 3y = 23 and x - y = -7?

Answer 1

To solve the system of equations -4x + 3y = 23 and x - y = -7, we use the substitution method. First, solve for x in the second equation, substitute into the first equation, solve for y, and then find x. The solution is (x, y) = (-2, 5).

Step-by-step explanation:

The question asks to identify a solution to the system of equations given by -4x + 3y = 23 and x - y = -7. To solve this, we can use either the substitution method or the elimination method.

Using the substitution method, we first solve the second equation for x:

• x = y - 7

Now, we substitute this expression for x into the first equation:

• -4(y - 7) + 3y = 23
• -4y + 28 + 3y = 23
• -y = -5
• y = 5

Next, we substitute y = 5 back into x = y - 7 to find x:

• x = 5 - 7
• x = -2

Thus, the solution to the system of equations is (x, y) = (-2, 5).