Question

solve using substitution.
x = y + 4
4x + y = 26
infinitely many solutions
(0, 5)
(6, 2)
no solution

Explanation:

Step1: Substitute $x=y+4$ into second equation

$4(y+4) + y = 26$

Step2: Expand and simplify left side

$4y + 16 + y = 26$
$5y + 16 = 26$

Step3: Solve for $y$

$5y = 26 - 16$
$5y = 10$
$y = \frac{10}{5} = 2$

Step4: Substitute $y=2$ into $x=y+4$

$x = 2 + 4 = 6$

Answer:

(6, 2)