Question

problem 5: here is a system of equations:
x = 14
2x - 5y = 13
what is a solution that works for both equations?

Explanation:

Step1: Substitute x into second equation

Substitute $x=14$ into $2x - 5y = 13$:
$2(14) - 5y = 13$

Step2: Simplify the left-hand side

Calculate $2\times14$:
$28 - 5y = 13$

Step3: Isolate the term with y

Subtract 28 from both sides:
$-5y = 13 - 28$
$-5y = -15$

Step4: Solve for y

Divide both sides by -5:
$y = \frac{-15}{-5} = 3$

Answer:

$x=14$, $y=3$