Question

Find x so that (x,-14) is a solution to 2x+3y=12

Answer 1

Answer:

27

Question:

Find $x$ so that $(x,-14)$ is a solution to $2x+3y=12$ .

Step-by-step explanation:

So we are asked to replace $y$ with -14 and solve for $x$ in the equation:

$2x+3y=12$.

$2x+3y=12$ with $y=-14$:

$2x+3(-14)=12$

$2x-42=12$

Add 42 on both sides:

$2x=54$

Divide both sides by 2:

$x=27$.

So the $x$-coordinate that corresponding to $y=-14$ is $27$.

Verify that:

$(27,-14)$ is a point satisfying $2x+3y=12$.

Replace $x$ with 27 and $y$ with -14:

$2(27)+3(-14)=12$

$54+-42=12$

$12=12$ is true so our work must be right.