Question

solve the system of equations.
2x - 9y = 14
x = -6y + 7
x =

y =

Explanation:

Step1: Substitute x in first equation

Substitute $x=-6y + 7$ into $2x-9y=14$. We get $2(-6y + 7)-9y=14$.

Step2: Expand the left - hand side

Expand $2(-6y + 7)-9y$: $-12y+14 - 9y=14$.

Step3: Combine like terms

Combine the y - terms: $(-12y-9y)+14 = 14$, which simplifies to $-21y+14 = 14$.

Step4: Solve for y

Subtract 14 from both sides: $-21y+14 - 14=14 - 14$, resulting in $-21y=0$. Then divide both sides by - 21, so $y = 0$.

Step5: Solve for x

Substitute $y = 0$ into $x=-6y + 7$. Then $x=-6\times0 + 7=7$.

Answer:

$x = 7$
$y = 0$