Question

for the three - step question that follows, provide your answer to each part in the given workspace. identify each step with a coordinating response. be sure to clearly label each part of your response as part a, part b, and part c. view the rubric linked above for help if needed. part a: find the solution to the system of equations below using substitution. -6x + 9y = 18 2x + 2y = 14 part b: write a sentence to explain the meaning of the solution. part c: show your work to support your answers.

Explanation:

Step1: Solve the first - equation for x

From $2x + 2y=14$, we can simplify it to $x + y = 7$, then $x=7 - y$.

Step2: Substitute x into the second - equation

Substitute $x = 7 - y$ into $-6x+9y = 18$. We get $-6(7 - y)+9y=18$. Expand the left - hand side: $-42 + 6y+9y=18$. Combine like terms: $15y=18 + 42$, so $15y=60$.

Step3: Solve for y

Divide both sides of $15y = 60$ by 15, we have $y = 4$.

Step4: Solve for x

Substitute $y = 4$ into $x=7 - y$, then $x=7 - 4=3$.

Answer:

$x = 3,y = 4$