Question

you might need: calcu
solve the system of equations.
$2x - 9y = 14$
$x = -6y + 7$
$x = square$
$y = square$

Explanation:

Step1: Substitute $x$ into first equation

Substitute $x=-6y+7$ into $2x-9y=14$:
$2(-6y+7)-9y=14$

Step2: Expand and simplify

Calculate the left-hand side:
$-12y+14-9y=14$
$-21y+14=14$

Step3: Solve for $y$

Isolate the term with $y$:
$-21y=14-14$
$-21y=0$
$y=0$

Step4: Solve for $x$

Substitute $y=0$ into $x=-6y+7$:
$x=-6(0)+7$
$x=7$

Answer:

$x=7$
$y=0$